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arXiv · 2204.13898

Calder\'{o}n-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

F. Deringoz·V. S. Guliyev·M. N. Omarova·M. A. Ragusa
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Abstract

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.

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F. Deringoz, V. S. Guliyev, M. N. Omarova, M. A. Ragusa. 2022-04-29. Calder\'{o}n-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces. https://arxiv.org/abs/2204.13898

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