Bilinear θ-type Calderón-Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces

2022/10/03 by Suixin He, He, Suixin, Shuangping Tao +1
Mathematics · #42B20 #42B35 #43A85 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2210.01017

openalex publication_date 2022/10/03 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds in X. In this setting, the authors establish the boundedness of bilinear θ-type Calderón-Zygmund operator T_θ and its commutator [b₁,b₂,T_θ] generated by the function b₁,b₂∈ BMO(μ) and T_θ on generalized weighted Morrey space M^p,ϕ(ω) and generalized weighted weak Morrey space WM^p,ϕ(ω) over RD-spaces.

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