单位球上加权Banach空间中的Toeplitz算子(英文)
The Toeplitz Operators on the Weighted Banach Space of the Unit Ball

应用Berezin变换的方法对单位球上加权Banach空间中的 Toeplitz算子进行刻画，对正函数的情形，将现有的单位圆的相关结论推广至单位球，得到Toeplitz算子连续的充分必要条件，并给出Toeplitz算子为紧算子的充分条件。
In the case of positive symbols,the continuity and compactness of a Toeplitz operator are character-ized. The Toeplitz operator under investigation acts upon the weighted Banach space H∞U which consists of analytic functions on the unit ball of Cn . Our characterizations are in terms of the Berezin transform