2021/04/24 by Bingyang Hu, Hu, Bingyang, Zhenghui Huo +1
Mathematics · #32A25 #32A36 #32A50 #42B20 #42B35 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2104.12011
openalex publication_date 2021/04/24 · openalex created_date 2021/05/10 · openalex updated_date 2026/07/28
In this paper, we study the behavior of the weighted composition operators acting on Bergman spaces defined on strictly pseudoconvex domains via the sparse domination technique from harmonic analysis. As a byproduct, we also prove a weighted type estimate for the weighted composition operators which is adapted to Sawyer-testing conditions. Our results extend the work by the first author, Li, Shi and Wick under a much more general setting.