A Theorem of Nehari Type on the Bergman Space

作     者：Lu YU-FENG YANG JUN 

作者机构：Department of Applied Mathematics Dalian University of Technology Dalian 116024 

出 版 物：《Communications in Mathematical Research》 (数学研究通讯（英文版）)

年 卷 期：2009年第25卷第2期

页      面：159-164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：The NSF (10671028) of China 

主　　题：Bergman space unit ball Hankel operator 

摘      要：In this paper we concern with the characterization of bounded linear operators S acting on the weighted Bergman spaces on the unit ball. It is shown that, if S satisfies the commutation relation STzi = Tzi（i =1,..,n）, where Tzi = zif and Tzi= P（zif） where P is the weighted Bergman projection, then S must be a Hankel operator.