Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Abstract 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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Publication Details

Journal
Demonstratio Mathematica
Published
2025-01-01
DOI
https://doi.org/10.1515/dema-2025-0143
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Pu Zhang, Di Fan
Demonstratio Mathematica
Advanced Harmonic Analysis Research
article

Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces

Pu Zhang, Di Fan
article en

Abstract

Abstract 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.

Demonstratio MathematicaVol. 58(1)
Shuozhou Central Hospital (CN), Mudanjiang Normal University (CN)
Department of Education, Heilongjiang Province, Mudanjiang Normal University
Openalex Percentile: Top 73%
Advanced Harmonic Analysis Research
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Commutators for the maximal and sharp functions with weighted Lipschitz functions on weighted Morrey spaces — Pu Zhang, Di Fan · Demonstratio Mathematica (2025) | TGRS Research Map | TGRS