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- Title
Some estimates for commutators of the fractional maximal function on stratified Lie groups.
- Authors
Wu, Jianglong; Zhao, Wenjiao
- Abstract
In this paper, the main aim is to consider the boundedness of the nonlinear commutator [ b , M α ] and the maximal commutator M α , b on the Lebesgue spaces over some stratified Lie group G when the symbol b belongs to the Lipschitz space. As a result, some new characterizations of the Lipschitz spaces on Lie group via [ b , M α ] and M α , b are given.
- Subjects
LIE groups; COMMUTATION (Electricity); LIPSCHITZ spaces; COMMUTATORS (Operator theory); MAXIMAL functions
- Publication
Journal of Inequalities & Applications, 2023, Vol 2023, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-023-03037-6