Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces

In this article, we show continuity of commutators of Calderón-Zygmund operators [ b, T ] with BMO functions in generalized Orlicz-Morrey spaces Mφ, φ (Rn). We give necessary and sufficient conditions for the boundedness of the genuine Calderón-Zygmund operators T T and for their commutators [ b, T] on generalized Orlicz-Morrey spaces, respectively. © 2023 the author(s), published by De Gruyter.

Authors
Guliyev V.S. , Omarova M.N. , Ragusa M.A.
Journal
Advances in Nonlinear Analysis
Publisher
De Gruyter
Issue number
1
Language
English
State
Published
Link
External link
DOI
10.1515/ANONA-2022-0307
Number
20220307
Volume
12
Year
2023
Organizations
  • 1 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 2 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mechanics, Baku, Azerbaijan
  • 4 Baku State University, Baku, Azerbaijan
  • 5 Department of Mathematics and Computer Science, University of Catania, Catania, Italy
Keywords
BMO; commutator; generalized Orlicz-Morrey spaces; genuine Calderón-Zygmund operator
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