摘要
探讨加权Bergman空间Ap()上的Carleson型测度和具有非负测度符号的Toeplitz算子,给出Carleson测度或消没Carleson测度的若干等价描述并用Carleson测度的方法刻画了Toeplitz算子是有界的或紧致的充要条件.
The Carleson-type measures and Toeplitz operators with nonnegative measure symbols on the weighted Bergman space Ap (φ) are investigated. We obtain some equivelent conditions of when a nonnegative Borel measure is Carleson or vanishing Carleson and eharieterize the boundedness or compactness of the Toeplitz operators by Carleson or vanishing Carleson measure respectively
出处
《应用泛函分析学报》
CSCD
2006年第4期369-376,共8页
Acta Analysis Functionalis Applicata
基金
浙江省教育厅科研项目(20040850)