数学杂志2012，Vol.32Issue(5)：851-866,16.
高维加权Bergman空间上的Toeplitz算子
TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACE IN THE UNIT BALL
摘要
Abstract
In this paper, we study the Toeplitz operators on weighted Bergman space in the unit ball Ap(Bn,dVp￡)(l < p < ∞). By using Berezin transform, we obtain some equivalent descriptions of the compactness of S and extend the conclusion on weighted Bergman space in the unit disk Ap(D,dmp￡) that a finite sum of finite products of Toeplitz operators is compact if and only if its Bevezin transform vanishes at the boundary of the unit ball.关键词
加权Bergman空间/Toeplitz算子/Berezin变换Key words
weighted Bergman space/ Toeplitz operator/ Berezin transform分类
数理科学引用本文复制引用
何莉,曹广福,王晓峰..高维加权Bergman空间上的Toeplitz算子[J].数学杂志,2012,32(5):851-866,16.基金项目
国家自然科学基金资助(10971040/A010602). （10971040/A010602）
