Calder\'{o}n-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 Calder\'{o}n-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calder\'{o}n-Zygmund operators on these spaces. Moreover,...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Deringoz, F, Guliyev, V S, Omarova, M N, Ragusa, M A
Format: Article
Language:English
Subjects:
Commutators
Operators
Online Access:Get full text
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Summary:In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calder\'{o}n-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calder\'{o}n-Zygmund operators on these spaces. Moreover, the boundedness of Calder\'{o}n-Zygmund operators in the vector-valued setting is given.
ISSN:2331-8422