Multilinear θ-type Calderón--Zygmund operators and commutators on products of weighted Morrey spaces

2023/02/11 by Xia Han, Hua Wang, Han, Xia +1
Mathematics · #42B20 #42B25 #47B38 #47G10 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2302.05570

openalex publication_date 2023/02/11 · openalex created_date 2023/02/15 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the boundedness properties of multilinear θ-type Calderón--Zygmund operators T_θ recently introduced in the literature. First, we prove strong type and weak type estimates for multilinear θ-type Calderón--Zygmund operators on products of weighted Morrey spaces with multiple weights. Then we discuss strong type estimates for both multilinear commutators and iterated commutators of T_θ on products of these spaces with multiple weights. Furthermore, the weak end-point estimates for commutators of T_θ and pointwise multiplication with functions in bounded mean oscillation are established too.

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