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加权Bergman空间上的Carleson测度与Toeplitz算子 被引量:1

Carleson Measures and Toeplitz Operators on the Weighted Bergman Spaces
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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
作者 于涛
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)
关键词 加权BERGMAN空间 CARLESON测度 消没Carleson测度 TOEPLITZ算子 伪双曲圆盘 Carleson方块 weighted Bergman spacer Carleson measure vanishing Carleson measure Toeplitz operator pseudo-hyperbolic disk Carleson square
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