This analysis reveals boundedness of commutators for maximal functions in weighted Morrey spaces, suggesting implications for function behavior.
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 (weighted Morrey-Campanato spaces). Some new characterizations for weighted Lipschitz functions are obtained in terms of the boundedness of the commutators.
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Zhang et al. (2025) studied this question.
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