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Dirichlet空间上Toeplitz算子的一些性质 被引量:3

Some Properties of Toeplitz Operators on Dirichlet Spaces
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摘要 该文研究了Dirichlet空间D^p(1<P<∞)上Toeplitz算子的紧性与Fredholm性质,计算了D^p上Toeplitz算子的Fredholm指标.还考查了D^p上Hankel算子紧性. In this paper, we investigate the compactness and the Fredholm properties of Toeplitz operators on the Dirichlet space Dp(D) (1 〈 p 〈 ∞), where D is the unit disc in complex plane C. We also compute the Fredholm index of Toeplitz operator on Dirichlet space Dp(D)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2012年第2期395-403,共9页 Acta Mathematica Scientia
基金 国家自然科学基金(10971040)资助
关键词 DIRICHLET空间 TOEPLITZ算子 紧性 Fredholm指标. Toeplitz operators Compactness Dirichlet space Fredholm index.
作者简介 夏锦,E-mail:xiaj@cdut.edu.cn;王晓峰,E-mail:wangxiaofeng514@hotmail.com
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  • 1黄辉斥.Bergman空间上小Hankel算子的代数性质(英文)[J].复旦学报(自然科学版),2005,44(3):370-374. 被引量:2
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