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Koleksiyondaki öğeler
- MakaleAçık Erişim2021Scopus SJRQ2Photoluminescence and structural properties of zirconium dioxide thin films produced by RF sputtering technique
Bakacak, Pinar K.; Gur, Emre; Bayram, Ozkan; Tuzemen, Sebahattin; Simsek, Onder
In this study, Zirconium Oxide (ZrO2) thin films were produced by using radio frequency magnetron sputtering method on glass substrate at various pressures. The effects of growth pressure on the characteristics of grown Zirconia nanostructures were investigated by Atomic Force Microscopy (AFM), Scanning Electron Microscopy (SEM), X-Ray Diffraction (XRD), Uv-Visible Spectroscopy and Photoluminescence Spectrometry (PL). XRD analysis showed that peaks of the monoclinic and tetragonal phases were more effective at low growth pressure, but different monoclinic phase peaks were present at increasing growth pressures. The surface morphological properties of the films such as average and maximum roughness, changed significantly with increasing growth pressure, and the maximum peak height first increased to 40 nm and then decreased to 20 nm. The optical transmittance of these thin films was examined in the 450–1100 nm wavelength range, covering both the visible and near-infrared spectral range, and it was found to be approximately 95% at 550 nm wavelength, and the optical band gaps were calculated to be approximately 3.26 eV by PL analyses. Uv-Visible spectroscopy analysis showed that the refractive index of the Zirconia films decreases from 2.09 to 1.79 with increasing wavelength of the incident photon. ZrO2 thin films are considered potential materials for transparent electronic devices because of their high transmittance value.
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İncele - MakaleAçık Erişim2022Scopus SJRQ4Angle Conceptions of Students with Learning Disabilities and Hearing Impairments; [Öğrenme Güçlüğüne Sahip ve İşitme Engelli Öğrencilerin Açı Kavrayışları]
Güven Akdeniz, Dilşad; Gürefe, Nejla; Arikan, Ahmet
The angle concept is central to the development of geometry knowledge, which is important and functional for everyday life. In this context, the aim of this study was to examine the understanding of the angle concept of middle school students with learning disabilities (LDs) and hearing impairment (HI). The participants of this study, which was a case study, were identified with the criterion and convenience sampling methods. The participants were two students, one of whom with LDs and the other had a HI, each of whom was in grade 6. Data collected through individual clinical interviews with the students were analyzed using the cross-case analysis method. According to the findings of the study, the angle conception of both students was limited to the shape of the angle, and both students were aware of the concept of direction in the angle, but the student with the LD perceived the angle more statically, and did not have enough knowledge about the angle measurement or its unit. It was seen that the student with the HI confused the angle and angle measure, but was aware of the various angles according to their measures.
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İncele - MakaleYalnız künye2020Scopus SJRQ3Determination of some wood properties and response to weathering of citrus limon (L.) Burm Wood
Sahin, Sirri; Ayata, Ümit; Bal, Bekir Cihad; Esteves, Bruno; Can, Ahmet; Sivrikaya, Hüseyin
The ability of Citrus limon (L.) Burm wood to be used for flooring applications was considered in this work. Selected wood properties were determined, and the response to weathering was tested. Janka hardness, density, screw withdrawal resistance, color, glossiness, and artificial weathering (144, 288, and 432 h) were determined. The wood from Citrus limon was shown to be a dense wood with air density around 830 kg/m3 and with a high Janka hardness of 138.0 N/mm2, 120.4 N/mm2, and 115.9 N/mm2 for cross, tangential, and radial sections, respectively. This opens good perspectives to this kind of wood being used for flooring. Statistical analysis showed that both Janka hardness and screw withdrawal resistance were significantly different between surfaces. Nevertheless, the homogeneity groups showed that the main differences were between the surfaces in the longitudinal direction when compared with the transverse direction. The wood is lighter than most common woods and it is mainly yellow. After weathering, the wood became darker, redder, and yellower. Glossiness decreased in the first hours of the weathering period.
AtıfScopus8İncele - MakaleAçık Erişim2021Scopus SJRQ1Antioxidant, antimicrobial activities and fatty acid compositions of wild berberis spp. by different techniques combined with chemometrics (PCA and HCA)
Gıdık, Betül
Interest in medicinal plants and fruits has increased in recent years due to people beginning to consume natural foods. This study aims to investigate the total phenolic flavonoid content, antiox-idant activity, condensed tannin content, oil content, and fatty acid compositions of five local breeds of Berberis spp. from Bayburt, Turkey, and their antioxidant and antimicrobial activities. The fatty acid composition of samples was performed with gas chromatography-mass spectrometry (GC-MS), and the total fatty acid content of samples was between 6.12% and 8.60%. The main fatty acids in Berberis spp. samples were α-linolenic acid (32.85–37.88%) and linoleic acid (30.98–34.28%) followed by oleic acid (12.85–19.56%). Two antioxidant assays produced similar results, demonstrating that extracts of wild B. vulgaris L. had the highest ferric reducing antioxidant power (FRAP) (621.02 µmol FeSO4.7H2O/g) and 1,1-diphenyl-2-picrylhydrazyl radical (DPPH) (0.10 SC50 mg/mL) values. According to principal component analysis (PCA), four components were determined. In addition, two main groups were determined according to hierarchical cluster analysis (HCA), and wild and culture of B. vulgaris L. were in different subgroups. This is the first original report about the fatty acid composition and oil content of Berberis spp. grown in Bayburt, Turkey. The obtained results indicate that B. integerrima Bunge and B. vulgaris, which have especially remarkable fatty acid content, antioxidant, and antimicrobial activity, could be potential sources for these properties in different areas of use.
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İncele - MakaleAçık Erişim2022Scopus SJRQ4The effect of carvacrol on oxido-inflammatory ovarian injury and infertility induced by ischemia-reperfusion in rats
Sahin, Nurullah; Delibas, Ilhan Bahri; Isaoglu, Unal; Suleyman, Bahadir; Yazici, Gulce Naz; Coban, Taha Abdulkadir; Uzel, Kemine; Suleyman, Halis; Arslan, Veysel
Background: Increased oxidants and proinflammatory cytokines play a role in the pathogenesis of ovarian ischemia-reperfusion (OIR) injury and related infertility. Carvacrol has antioxidant, antibacterial and anti-inflammatory properties. Methods: Protective effect of carvacrol against ischemia-reperfusion (IR)-related ovarian damage and infertility was investigated. IR process were applied to the ovaries of rats, which were divided into the following groups (n = 12): OIR, IR +50 mg/kg carvacrol (IRC-50), IR +100 mg/kg carvacrol (IRC-100) and sham group (SG). After the reperfusion process, six rats from each group were killed and the removed ovaries were examined biochemically and histopathologically. The remaining animals were kept two months with mature male rats to reproduce. Results: At a dose of 50 mg/kg, carvacrol suppressed the oxidant parameter increase and antioxidant decrease caused by IR in ovarian tissue. At a dose of 100 mg/kg, carvacrol antagonized both oxidant and proinflammatory cytokine increase and antioxidant decrease. Histopathologically, severe degeneration of follicles in the ovaries of the OIR group, necrotic cell accumulations, hemorrhage in the corpus luteum, edema in the interstitial tissue, polymorphous nuclear leukocyte (PNL) infiltration, and congestion and dilation of blood vessels were detected. Inflammatory symptoms such as edema in the ovarian tissue, congested dilated blood vessels and PNL infiltration were observed at a dose of 50 mg/kg of carvacrol, but these histopathological findings were not observed at a dose of 100 mg/kg. Conclusion: A dose of 100 mg/kg carvacrol, which eliminated inflammatory damage, significantly prevented the development of IR-induced infertility. Carvacrol may be beneficial in the treatment of IR-related ovarian damage and infertility. Copyright:
AtıfScopus2WoS1OpenAlex2İncele - MakaleYalnız künye2020Scopus SJRQ4Effect of fineness on lime stabilization of low plasticity clays
Yilmaz, Fatih; Kocabey, Sefa
In this study, stabilization with lime was investigated within the scope of surface soil stabilization. The main aim of the study is to examine the grindability of the lime and investigate the effect of grinded lime on the strength and durability behavior of stabilized soil. This paper is divided into two parts. The first part deals with the grindability of the lime. The second part analyses the results of geotechnical tests with grinded and ungrinded lime. Ungrinded lime, 90% of which is below 48 microns, was reduced to less than 20 microns. The test samples were prepared by adding 2%, 4%, 6%, 8% and 10% of grinded and ungrinded lime to a low plasticity clay according to the Unified Soil Classification System. Curing times for strength tests were determined as 1, 7, 14 and 28 days. The properties of the prepared mixtures were investigated by their geotechnical properties such as index, strength and durability. In the light of the data obtained from the experiments, it is concluded that the fineness of the lime has a direct positive effect on the strength and durability characteristics.
- MakaleAçık Erişim2022Zero in arithmetic operations: A comparison of students with and without learning disabilities
Akdeniz, Dilşad Güven; Topbaş, Esra Selcen Yakıcı; Argün, Ziya
The aim in the current study is to examine the conceptualizations of zero in arithmetic operations among students with learning disabilities (LD) and no learning disabilities (N-LD). The similarities and differences in the understandings of students with LD and N-LD of zero in arithmetical operations will be discussed. The study is a multiple case study with a qualitative research design. Six students, 3 students with LD and 3 with N-LD aged between 10 and 12 years participated in the study. The data were collected through clinical interviews. The data were analyzed by content analysis. Students‘ limited understanding of zero and operations affects their interpretation of arithmetic operations with zero. The conceptualizations of students with LD and N-LD regarding specifically division by zero show similarities with the exception of their use of the knowledge about operations. It has been observed that LD students have developed a different algorithm when it comes to addition and multiplication with zero. Through this study examining the differences in the understandings of students with LD and N-LD on a specific concept in terms of underlying conceptions, it is thought to provide an insight in terms of discovering LD and a more detailed recognition of these students' mathematics.
AtıfScopus2OpenAlex1İncele - MakaleAçık Erişim2022Scopus SJRQ2Comparison of classical and newly designed motion profiles for motion-based control of flexible composite manipulator
Uyar, M.
The motion profiles defined to move the robot manipulators directly affect the endpoint position accuracy, position repeatability, and vibration control of the manipulators in engineering applications, especially in flexible manipulators. This study deals theoretically and experimentally with the dynamic performance of two different motion profiles in reducing the vibration amplitudes of a single-link flexible composite manipulator. Manipulator is produced from epoxy-glass composite material with a layer orientation of [0/90/0/0/90/0] lay-up. For theoretical studies, the SimMechanics-based flexible dynamic model is created using flexible beam block in MATLAB/Simulink, and the finite element model is established with a layered structural solid element in ANSYS. Two different motion profiles are defined to drive the manipulator for different stopping positions and motion times. Simulations are achieved by using motion profiles. The performance of the motion profiles is evaluated by considering the reduction ratio of residual displacement and acceleration vibrations generated at the endpoint of the manipulator. RMS values of residual vibrations are calculated to determine the rate of residual vibration suppression. Reduction ratios are determined by considering the maximum vibration amplitudes as the reference RMS value. The effectiveness of the motion profiles is presented in comparison with the reduction rates. Simulation results obtained using both displacement and acceleration vibration responses are verified with experiments for all motion cases. Also, the modeling and analysis of the composite manipulator are verified by simulations and experiments with the SimMechanics-based modeling method, and the reliability of the proposed method is increased.
AtıfScopus8WoS8OpenAlex8İncele - MakaleYalnız künye2022Scopus SJRQ1Production and characterisation of goat milk powder made from sonicated whole milk concentrates
Sert, Durmuş; Mercan, Emin
In the present study, goat milk powder (GMP) was produced from sonicated whole milk concentrates for 0–60 min. The physicochemical, functional, and microbiological properties and powder flow behaviours of the GMP samples were determined. Sonication decreased firmness and consistency values of milk concentrate with the increased treatment time. L∗ value of the sonicated GMPs was higher than that of the control. The bulk density of samples was between 0.681 and 0.736 g cm−3, increased by sonication. However, sonication resulted in lower wettability, dispersibility, and foaming capacity. The D [3,2] value of GMPs ranged from 21.9 to 31.1 μm, increased by sonication. Sonication caused reduced cohesion and caking properties of GMPs compared with the control. Also, lower compaction levels at different flow rates were determined in the sonicated samples. In general, powder flow analyses showed that sonication improved GMP flow behaviour. Sonicated samples had reduced microbial load compared with the control.
AtıfScopus12WoS8OpenAlex11İncele - MakaleAçık Erişim2021Scopus SJRQ1Investigation of time-history response of a historical masonry minaret under seismic loads
Yurdakul, Muhammet; Yılmaz, Fatih; Artar, Musa; Can, Ömer; Öner, Erdal; Daloğlu, Ayşe T.
This study presents an investigation of the seismic performance of a historical masonry minaret which was built in the 12th century in Bayburt. The minaret was built as masonry with regional stones and handmade bricks. The most important feature of the minaret is its longitudinally conical geometry. An experimental investigation was made to obtain the mechanical properties of the regional stone used in the historical minaret. A three-dimensional Finite Element Model of the historical minaret was created in SAP2000. Three earthquake ground motions such as Erzincan, Kocaeli-Duzce, and Van-Ercis were used to investigate the seismic performance of the historical minaret. The results show that Erzincan, Kocaeli-Duzce and Van-Ercis earthquakes may cause some damages in the same zone of the minaret body since the tensile stresses occurred due to the earthquakes exceed the limit tensile stress of the masonry brick. The use of the data obtained from the experimental investigation of the Bayburt yellow stone in the analysis is important for the reliability of the results.
AtıfScopus44WoS43OpenAlex44İncele - MakaleAçık Erişim2021Scopus SJRQ1Development of buffalo milk ice-cream by high pressure-homogenisation of mix: Physicochemical, textural and microstructural characterisation
Sert, Durmuş; Mercan, Emin; Kılınç, Mehmet
This study aimed to determine the physicochemical, textural, and microstructural characteristics of buffalo milk ice cream produced from high-pressure homogenisation (HPH) treated ice cream mix. Ice cream mix was subjected to 0 (control), 30, 60, 90, 120, or 150 MPa. HPH increased the firmness and consistency value of mixes, whereas it decreased cohesiveness and index of viscosity values. Also, HPH improved the lightness, redness, and yellowness of the mix. The mean particle size of HPH-treated mix samples was lower than the control, except HPH-150. The hardness of ice cream samples was between 14.30 and 77.81 N, in which HPH increased hardness value with the increasing pressure. The overrun of ice cream samples ranged from 19.93 to 45.15%, and HPH decreased it. HPH significantly improved resistance to melting in the ice cream. Scanning electron microscopy images revealed that HPH reduced the size of air bubbles. HPH at 150 MPa resulted in a foamy structure in the ice cream. HPH can alter the hardness, microstructure, and melting characteristics of buffalo milk ice cream. Products with improved properties may be developed by further modifying the formulation and processing parameters.
AtıfScopus22WoS16OpenAlex20İncele - MakaleAçık Erişim2021Scopus SJRQ1Investigation of mechanical properties of high-performance hybrid fiber concretes adding nanomaterials using with coarse aggregate
Öksüzer, Nurullah; Anil, Özgür; Aldemir, Alper; Şahmaran, Mustafa
High-performance hybrid fiber cement composites have more ductility and higher strength than traditional concrete. This is because crack development is limited due to multiple small cracks are formed instead of a single large crack as the fibers enter the matrix. It is customary to produce these concrete composites with fine aggregates. In this study, concrete composites with coarse aggregates were strived to be produced to gain some feasibility. To this end, different mixtures composed of different aggregate/binder ratios and different fly ash/binder ratios were designed. In order to compare the effectiveness of the combination of different fibers were utilized in these mixtures. The volumetric ratios of fibers (excluding reference samples) were kept constant at a value of 2%. For each mixture, four-point bending and compressive tests were performed. The increase in the aggregate ratio was observed to cause a more ductile flexural behavior in mixtures composed of PVA and steel fibers. In contrast, the ductility was reduced in mixtures with Nylon-mono and steel fibers. In addition, the ductility values were enhanced with the increase in FA/PC ratio. In addition, the possibility to use the cheaper Nylon-mono fibers in hybrid fiber mixtures was proved with optimization of aggregate-binder (A/B) and FA/PC ratios, enabling more feasible high-performance concrete mixtures.
AtıfScopus12WoS9OpenAlex13İncele - Kitap BölümüYalnız künye2019Detecting housing price bubbles using panel unit roots tests
Korkmaz, Özge
The current developments in the global economy indicate that fluctuations in housing price have important effect on macroeconomic stability. Housing price is one of the indicators of household prosperity. Therefore, excessive volatility in housing market may influence macroeconomic prosperity. Especially it has recently seen higher increases in housing price in Turkey than in previous years. The aim of the study is to investigate regional house price bubbles in Turkish housing market using different panel unit root tests, which are CADF, SURADF, PANKPSS, Fourier KSS, sequential ADF and generalized sequential ADF unit root tests and KPSS stationarity test with sharp and smooth breaks. Therefore, the advantages and performances of so-called unit root tests were compared. The results of the analysis show that the presence of the bubbles in some regions was evidenced by CADF and SURADF unit root tests, while any evidence regarding the presence of bubble was not found by PANKPSS, FKSS unit root tests and KPSS stationarity test with sharp and smooth breaks. This study contributes to the existing literature in comparing of new methods used in detecting of the bubbles in housing prices.
- MakaleAçık Erişim2021Scopus SJRQ3Effect of Heat Treatment on Shore-D Hardness of Some Wood Species
Esteves, Bruno; Sahin, Sırrı; Ayata, Ümit; Domingos, Idalina; Ferreira, José; Gürleyen, Levent
Hardness is an important wood property for several applications. Typically, it is necessary to use traditional methods, such as a universal test machine, to determine a wood’s hardness value. This work reports the hardness of some wood species before and after heat treatment (ThermoWood method) using the Shore-D hardness method. The Shore-D hardness value of untreated wood ranged between 35.3 for Limba wood and 77.2 for Santos wood. With heat treatment, hardness decreased, and the decrease was greater for samples that underwent harsher treatment (2 h at 212 °C). The decrease of hardness was highest for Sipo wood (14%) and the lowest for Afrormosia wood (2.5%). Analysis of variance tests showed that there was a significant difference between wood species, heat treatment, and the interaction between both variables at the chosen level of significance (P ≤ 0.05). Results showed that Shore-D hardness could be used to measure hardness directly in a production line or in small wood companies without using a universal test machine.
AtıfScopus23WoS17OpenAlex24İncele - MakaleYalnız künye2021Scopus SJRQ3Two-dimensional frictionless contact analysis of an orthotropic layer under gravity
Öner, Erdal
An analytical method for solving the two-dimensional frictionless continuous contact problem of an orthotropic layer pressed by a rigid stamp is presented in this paper. The orthotropic layer lies on a rigid foundation, and plane-strain orthotropy prevails in the layer, which is not bonded to the rigid foundation. An external load was applied to the orthotropic layer through a rigid stamp. The profiles of flat and cylindrical stamps as stamp shapes were handled separately. The orthotropic layer was assumed to be subjected to uniform vertical body forces owing to the effect of gravity. For values of the resultant compressive force P acting on the stamp vertically that were lesser than a critical value, the continuous contact along the orthotropic layer–rigid foundation interface was maintained. By assuming plane-strain conditions, the governing equations corresponding to the mentioned contact problem were extracted separately in the presence and absence of the body force of the orthotropic layer using the theory of elasticity and the Fourier integral transformation technique. Subsequently, the mixed boundary value problem was reduced to a singular integral equation, and the numerical solution of this singular integral equation was obtained by applying the Gauss–Chebyshev integration formulas. Numerical results reveal the effect of the orthotropic material parameters, stamp length (in the case of a flat stamp), stamp radius (in the case of a cylindrical stamp), applied load on the contact stress distributions, contact length, initial separation load and initial separation distance. The results of this study may provide insights for engineers in fields closely related to contact mechanics.
AtıfScopus29WoS29OpenAlex26İncele - MakaleAçık Erişim2020Scopus SJRQ1Development of particle swarm and topology optimization-based modeling for mandibular distractor plates
Şensoy, Abdullah Tahir; Kaymaz, Irfan; Ertaş, Ümit
Mandibular Distraction Osteogenesis (MDO) is a common clinical procedure to correct mandibular retrognathia. However, since there is not a gold standard for determining the screw positions for current MDO operations, deviation of distraction direction and malocclusion increases. This case results in need of additional operations that affect the callus stability. In these cases, relapse risk increases and remodelling period gets longer. On the other hand, large volume of the distractor plates results in more invasive treatment and negatively affects the patients’ comfort. To overcome these problems, this study offers a new method including; virtual surgery simulation, determining the optimum screw configuration using particle swarm optimization loop linked between MATLAB-PYTHON-ANSYS programs and the design of distractor plate geometry with topology optimization. In order to test the proposed method, two different Finite Element (FE) models, CM and OM, were established based on conventional and optimum method, respectively. FEA results of the current study reveals that OM has 33.56% less displacement compared to CM, and the most critical screw in terms of screw loosening for OM has 35.29% less strain value than CM. These outcomes show OM shows superior callus stability in comparison with CM. On the other hand, redesign of the distractor plates using topology optimization according to the best screw positions provides 43.32% reduction in the total implant volume which means reduced cost and a less invasive MDO operation. Therefore, the clinical use of this protocol is expected to increase the success of the operation by shortening the recovery period.
AtıfScopus13WoS11OpenAlex13İncele - MakaleAçık Erişim2021Scopus SJRQ2Magnetic levitation force performance of benzil added bulk MgTi0,06B2 superconductors
Abdioglu, Murat
MgB2 superconductors can be proposed as a good candidate for Maglev systems due to their superior structural and superconducting properties. Besides, magnetic levitation and guidance force properties of these superconductors should be increased for commercial applications of Maglev systems. Therefore, the critical current density and magnetic levitation and guidance force properties of MgTi0.06B2 superconducting samples were investigated in this study, at measurement temperatures of 20 K and 25 K, depending on benzil (C14H10O2) addition in different adding amounts of 0, 1.5, 3, 4.5, 6 and 9 wt%. In addition to benzil, nanometer-sized silver particles were added to the samples in a constant ratio of 2 wt% to enhance the structural properties. The maximum critical current density values increased from 67 kA/cm2 for pure sample to 92 kA/cm2 with benzil adding amount of 3 wt% at T = 20 K, indicating an increment of 37%. In addition, the levitation force in ZFC (zero field cooling) regime and the guidance force in FC (field cooling) regime at 20 K increased at an amount of 46% and 57%, respectively, with 3% benzil addition. It can be said that the suitable amount of benzil addition as a carbon source produces additional pinning centres inside the MgTi0.06B2 and thus structural properties, critical current density and therefore, magnetic levitation properties of the samples are increased.
AtıfScopus3WoS3OpenAlex3İncele - MakaleYalnız künye2022Extinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity
Ayazoglu Mashiyev, Rabil; Akkoyunlu, Ebubekir
In this paper, we study a class of p(·)-Laplace equation including nonstandard growth nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. We establish the conditions of non-extinction and extinction are studied of global weak solutions in finite time for any initial data u0 . Moreover, we show the global existence results for N ≥ 1 with constant p for any initial data u0 .
AtıfScopus2İncele - MakaleAçık Erişim2020Scopus SJRQ2Looking inside the strategic plans: Strengths and weaknesses of Turkish higher education institutions; [Mirando dentro de los planes estratégicos: Fortalezas y debilidades de las instituciones de educación superior Turcas]
Selvitopu, Abdullah; Kaya, Metin
As strengths and weaknesses are regarded as internal features of an organization, the present study focused on strengths and weaknesses of Turkish public universities by analyzing the SWOTs (Strengths, Weaknesses, Opportunities, Threats) of twenty higher education institutions. By applying qualitative content analytical tools, we tried to make some comparisons, twenty universities, ten ranked at the top and ten at the bottom of the URAP list, were chosen to analyze the strengths and weaknesses. Findings show that all universities top or bottom ones have internal strengths and weaknesses on their own. The strengths of universities differ according to their size, field of service, structure, history and geographical locations. Top universities which are in big size, have a deeply rooted history and situated in a better geographical location can enjoy the strengths as qualified faculty members, organizational culture, internationalization process, infrastructure and good alumni relations. On the other hand, bottom universities which have not got those advantages deal with other strengths such as young faculty members, organizational support and internal communication. As for the weaknesses, top universities need more budget and acceptable rate of faculty member and student. Bottom ones need more qualified faculty members, students and staff. As they are located in disadvantageous regions, they are in need of some promotions to attract faculties, staff, national and international students. In addition, they also should be aware of the contributions of good alumni relations.
AtıfScopus3WoS1OpenAlex1İncele - MakaleAçık Erişim2020Scopus SJRQ3B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spaces
Hasanov, Javanshir J.; Ayazoglu, Rabil; Bayrakci, Simten
In this article, we consider the Laplace-Bessel differential operator Δ B k, n = a' i = 1 k a, 2 a, x i 2 + γ i x i a, a, x i + a' i = k + 1 n a, 2 a, x i 2, γ 1 > 0,γ k > 0. {\Delta }{{B}{k,n}}=\mathop{\sum }\limits{i=1}{k}\left(\frac{{\partial }{2}}{\partial {x}{i}{2}}+\frac{{\gamma }{i}}{{x}{i}}\frac{\partial }{\partial {x}{i}}\right)+\mathop{\sum }\limits{i=k+1}{n}\frac{{\partial }{2}}{\partial {x}{i}{2}},{\gamma }{1}\gt 0,\ldots,{\gamma }{k}\gt 0. Furthermore, we define B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials associated with the Laplace-Bessel differential operator. Moreover, we also obtain the boundedness of the B-maximal commutator M b, γ {M}{b,\gamma } and the commutator [ b, A γ[ {[}b,{A}{\gamma }] of the B-singular integral operator and Hardy-Littlewood-Sobolev-type theorem for the commutator [ b, I α, γ[ {[}b,{I}{\alpha,\gamma }] of the B-Riesz potential on B-Morrey spaces L p, λ, γ {L}{p,\lambda,\gamma }, when b â BMO γ b\in {\text{BMO}}{\gamma }.
AtıfScopus5WoS5OpenAlex7İncele
