Commutators of the maximal and sharp functions with weighted Lipschitz functions
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:CL3SINHHrecord.jsonopen to challenge →
classification
math.CA
math.APmath.FA
keywords
weightedfunctionlipschitzmaximalspacescommutatorsfunctionsnonlinear
read the original abstract
Let $M$ be the Hardy-Littlewood maximal function. Denote by $M_b$ and $[b,M]$ the maximal and the nonlinear commutators of $M$ with a function $b$. The boundedness of $M_b$ and $[b,M]$ on weighted Lebesgue spaces are characterized when the symbols $b$ belong to weighted Lipschitz (weighted Morrey-Campanato) spaces. Some new characterizations for weighted Lipschitz spaces are obtained. Similar results are also established for the nonlinear commutator of the sharp function.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.