Volterra Type Operators on Weighted Dirichlet Spaces

作     者：Qingze LIN Qingze LIN

作者机构：School of MathematicsSun Yat-sen UniversityGuangzhou 510275China 

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

年 卷 期：2021年第42卷第4期

页      面：601-612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.11801094) 

主　　题：Volterra type operator Boundedness Compactness Weighted Dirichlet space Order boundedness 

摘      要：The Carleson measures for weighted Dirichlet spaces had been characterized by Girela and Peláez,who also characterized the boundedness of Volterra type operators between weighted Dirichlet ***,their characterizations for the boundedness are not *** this paper,the author completely characterizes the boundedness and compactness of Volterra type operators from the weighted Dirichlet spaces D^(p)_(α)to _(Dβ)^(q)(-1α,βand 0pq∞),which essentially complete their ***,the author investigates the order boundedness of Volterra type operators between weighted Dirichlet spaces.