Weighted Composition Operators from the Bloch Spaces to Weighted Hardy Spaces on Bounded Symmetric Domains

作     者：Lei LI Xiao WANG Lei LI;Xiao WANG

作者机构：School of Mathematical Sciences and LPMCNankai UniversityTianjin 300071China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第2期

页      面：289-298页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.12171251) 

主　　题：Weighted composition operators Bloch functions Holomorphic func-tions Bounded symmetric domains Kobayashi distance 

摘      要：Let BE be a bounded symmetric domain realized as the unit open ball of JB^(*)-*** authors will characterize the bounded weighted composition operator from the Bloch space B(BE)to weighted Hardy space Hv∞in terms of Kobayashi *** authors also give a sufficient condition for the compactness,and also give the upper bound of its essential *** a corollary,they show that the boundedness and compactness are equivalent for composition operator fromB(BE)to H∞(BE),when is a finite dimension JB^(*)-***,they show the boundedness and compactness of weighted composition operators from B(BE)to Hv,0∞(BE)are equivalent when is a finite dimension JB^(*)-triple.