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

2022/04/29 by Deringoz, F., Guliyev, V. S., Omarova, M. N. +1
#42B20 #42B25 #42B35 #46E30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2204.13898

Abstract

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.

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