Boundedness of commutators for multilinear Calderón-Zygmund operators on Generalized Morrey Spaces

2023/12/14 by Fuli Ku, Ku, Fuli
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2312.08941

openalex publication_date 2023/12/14 · openalex created_date 2023/12/16 · openalex updated_date 2026/07/28

Abstract

Let T be a m-linear Calderón-Zygmund operator of type ω with ω being nondecreasing and ω∈ Dini(1) and [b, T] be the commutator generated by T with symbols b=(b₁, …, b_m) belonging to generalized Campanato spaces. We give necessary and sufficient conditions for the boundedness of [b, T] on generalized Morrey spaces with variable growth condition.

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