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Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces (2309.02192v1)
Published 5 Sep 2023 in math.CA and math.AP
Abstract: We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces. Some new characterizations for weighted Lipschitz functions are obtained in term of the boundedness of the commutators.