Journal
ADVANCES IN NONLINEAR ANALYSIS
Volume 12, Issue 1, Pages -Publisher
DE GRUYTER POLAND SP Z O O
DOI: 10.1515/anona-2022-0307
Keywords
generalized Orlicz-Morrey spaces; genuine Calderon-Zygmund operator; commutator; BMO
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In this article, the continuity of commutators [b, T] of Calderón-Zygmund operators with BMO functions in generalized Orlicz-Morrey spaces M-F, M-f(R-n) is demonstrated. Necessary and sufficient conditions for the boundedness of the genuine Calderón-Zygmund operators T and their commutators [b, T] on generalized Orlicz-Morrey spaces are provided.
In this article, we show continuity of commutators of Calder & oacute;n-Zygmund operators [b, T] with BMO functions in generalized Orlicz-Morrey spaces M-F,M-f(R-n). We give necessary and sufficient conditions for the boundedness of the genuine Calder & oacute;n-Zygmund operators T and for their commutators [b, T] on generalized Orlicz-Morrey spaces, respectively.
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