Journal
BULLETIN OF MATHEMATICAL SCIENCES
Volume 13, Issue 1, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1664360722500047
Keywords
Generalized weighted Orlicz-Morrey space; Calderon-Zygmund operators; commutator; vector-valued inequalities
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This paper investigates the boundedness of Calderon-Zygmund operators and their commutators in generalized weighted Orlicz-Morrey spaces, as well as the boundedness in the vector-valued setting.
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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