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

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

Maria Alessandra Ragusa
;
2022

Abstract

In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calderon-Zygmund operators in generalized weighted Orlicz-Morrey spaces. We also study the boundedness of the commutators of Calderon-Zygmund operators on these spaces. Moreover, the boundedness of Calderon-Zygmund operators in the vector-valued setting is given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/534017
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