A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces


  • J.J. Hasanov Azerbaijan State Oil and Industry University, Baku, Azerbaijan
  • I. Ekincioglu Istanbul Medeniyet University, Istanbul, Turkey
  • C. Keskin Istanbul Medeniyet University, Istanbul, Turkey


$B$-maximal operator, $B$-singular integral operator, commutator, generalized weighted $B$-Morrey space
Published online: 2023-06-29


We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator. Our analysis is based on two weighted inequalities for the maximal operator, singular integral operators, and their commutators, related to the Laplace-Bessel differential operator in generalized weighted $B$-Morrey spaces.

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How to Cite
Hasanov, J.; Ekincioglu, I.; Keskin, C. A Characterization for $B$-Singular Integral Operator and Its Commutators on Generalized Weighted $B$-Morrey Spaces. Carpathian Math. Publ. 2023, 15, 196-211.