Calderón-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calderón-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calderón-Zygmund operators on these spaces. Moreover, the boundedness of Calderón-Zygmund operators in the vector-valued setting is given. © 2023 The Author(s).

Authors
Deringoz F. , Guliyev V.S. , Omarova M.N. , Ragusa M.A.
Journal
Bulletin of Mathematical Sciences
Publisher
World Scientific Publishing Co. Pte Ltd
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1142/S1664360722500047
Number
2250004
Volume
13
Year
2023
Organizations
  • 1 Department of Mathematics, Ahi Evran University, Kirsehir, Turkey
  • 2 Institute of Applied Mathematics, Baku State University, Baku, AZ 1148, Azerbaijan
  • 3 RUDN University, Moscow, 117198, Russian Federation
  • 4 Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, Azerbaijan
  • 5 Dipartimento di Matematica e Informatica, Universitá di Catania, Catania, Italy
Keywords
Calderón-Zygmund operators; commutator; Generalized weighted Orlicz-Morrey space; vector-valued inequalities
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