2026-10-30T01:03:15Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/134972026-10-29T19:52:15Zopenairedrivercom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10218

B-maximal commutators, commutators of B-singular integral operators and B-Riesz potentials on B-Morrey spacesHasanov, Javanshir J.Ayazoglu, RabilBayrakci, SimtenB-maximal functionB-Morrey spaceB-Riesz potentialbounded mean oscillation (BMO) spacecommutatorgeneralized shift operatorIn 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 }.De Gruyter2020Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/13497https://doi.org/10.1515/math-2020-00332391-5455enOpen Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13497