Dirichlet空间上Toeplitz算子的一些性质

Abstract

Abstract:

In this paper, we investigate the compactness and the Fredholm properties of Toeplitz operators on the Dirichlet space D^p(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 D^p(D).

Key words: Toeplitz operators, Compactness, Dirichlet space, Fredholm index

CLC Number:

47B35

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XIA Jin, WANG Xiao-Feng, CAO An-Fu. Some Properties of Toeplitz Operators on Dirichlet Spaces[J].Acta mathematica scientia,Series A, 2012, 32(2): 395-403.

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Some Properties of Toeplitz Operators on Dirichlet Spaces

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