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Characterization of Lipschitz functions via commutators of maximal operators on slice spaces
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Characterization of Lipschitz functions via commutators of maximal operators on slice spaces
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Journal Article
Characterization of Lipschitz functions via commutators of maximal operators on slice spaces
2026
Overview
Let 0 ≤ α < n , M α be the fractional maximal operator, M ♯ be the sharp maximal operator and b be the locally integrable function. Denote by [ b , M α ] and [ b , M ♯ ] be the commutators of the fractional maximal operator M α and the sharp maximal operator M ♯ . In this paper, we show some necessary and sufficient conditions for the boundedness of the commutators [ b , M α ] and [ b , M ♯ ] on slice spaces when the function b is the Lipschitz function, by which some new characterizations of the non-negative Lipschitz function are obtained.
Publisher
Miskolc University Press
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