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

2023/09/05 by Pu Zhang, Di Fan, Zhang, Pu +1
Mathematics · #26A16 #42B20 #42B25 #47B47 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2309.02192

openalex publication_date 2023/09/05 · openalex created_date 2023/09/09 · openalex updated_date 2026/07/28

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. Some new characterizations for weighted Lipschitz functions are obtained in term of the boundedness of the commutators.

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