Characterization of Lipschitz functions via commutators of maximal operators on slice spaces
Abstract
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.
Fields of Study & Subjects
Advanced Banach Space Theory
Approximation Theory and Sequence Spaces
Holomorphic and Operator Theory
Publication details
- Journal / source
- Miskolc mathematical notes/Mathematical notes
- Volume
- 27
- Issue
- 1
- Pages
- 441–441
- Publication date
- 1 January 2026
- Language
- EN