A Theorem of Nehari Type on the Bergman Space
A Theorem of Nehari Type on the Bergman Space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.