单位球上复合算子的紧线性组合

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2022-06-15 DOI:10.7900/jot.2020nov28.2310

Xinqi Guo, Maofa Wang

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引用次数: 0

摘要

本文利用幂型判据研究了单位球上加权Bergman空间上任意具有一般符号的复合算子的有限线性组合的紧性。证明策略涉及到复合算子理论在加权Bergman空间和Korenblum空间之间的微妙联系。

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Compact linear combinations of composition operators over the unit ball

In this paper, we study the compactness of any finite linear combination of composition operators with general symbols on weighted Bergman spaces over the unit ball in terms of a power type criterion. The strategy of the proof involves the subtle connection of composition operator theory between weighted Bergman spaces and Korenblum spaces.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.