Dirichlet型空间上的紧加权复合算子的谱

数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 873-883.

Dirichlet型空间上的紧加权复合算子的谱

王茂发| 刘培德

武汉大学数学与统计学院| 武汉 |430072

收稿日期:2008-10-30 修回日期:2009-10-09 出版日期:2010-07-25 发布日期:2010-07-25
基金资助:
国家自然科学基金资助

Spectra of Compact Weighted Composition Operators on Dirichlet Type Spaces

WANG Mao-Fa, LIU Pei-De

School of Mathematics and Statistics, Wuhan University, Wuhan 430072

Received:2008-10-30 Revised:2009-10-09 Online:2010-07-25 Published:2010-07-25
Supported by:
国家自然科学基金资助

摘要/Abstract

摘要：

该文研究了单位多圆柱情形Dirichlet型空间上的加权复合算子的谱. 对一类紧加权复合算子, 给出了其谱的完全刻画, 推广了已有结果.

关键词: Dirichlet型空间, 加权复合算子, 紧算子, 谱

Abstract:

In this paper, the authors study the spectra of weighted composition operators on Dirichlet type spaces D_α(Uⁿ) defined on the unit polydisc {Uⁿ) in Cⁿ. Some spectral characterizations of a class of compact weighted composition operators on D_α{Uⁿ) are obtained, which extend some previous results.

Key words: Dirichlet type space, Weighted composition operator, Compact operator, Spectrum

中图分类号:

47B38

王茂发, 刘培德. Dirichlet型空间上的紧加权复合算子的谱[J]. 数学物理学报, 2010, 30(4): 873-883.

WANG Mao-Fa, LIU Pei-De. Spectra of Compact Weighted Composition Operators on Dirichlet Type Spaces[J]. Acta mathematica scientia,Series A, 2010, 30(4): 873-883.

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