TOEPLITZ OPERATORS ON HEISENBERG GROUP

doi:10.1016/S0252-9602(13)60107-1

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (6): 1589-1597.doi: 10.1016/S0252-9602(13)60107-1

TOEPLITZ OPERATORS ON HEISENBERG GROUP

谢佩珠|曹广福

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China

收稿日期:2012-06-02 修回日期:2013-01-07 出版日期:2013-11-20 发布日期:2013-11-20
基金资助:
This research was Supported by National Natural Science Foundation of China (11271092), Natural Science Foundation of Guangdong Province (s2011010005367), Spe-cialized Research Fund for the Doctoral Program of Higher Education (20114410110001, 20124410120002) and SRF of Guangzhou Education Bureau (2012A088).

TOEPLITZ OPERATORS ON HEISENBERG GROUP

XIE Pei-Zhu, CAO Guang-Fu

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China;
Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China

Received:2012-06-02 Revised:2013-01-07 Online:2013-11-20 Published:2013-11-20
Supported by:
This research was Supported by National Natural Science Foundation of China (11271092), Natural Science Foundation of Guangdong Province (s2011010005367), Spe-cialized Research Fund for the Doctoral Program of Higher Education (20114410110001, 20124410120002) and SRF of Guangzhou Education Bureau (2012A088).

摘要/Abstract

摘要：

Denote by the Siegel domain in Cⁿ, n > 1. In this paper, we study the essential spectra of Toeplitz operators defined on the Hardy space H²(∂Ω). In addition, the characteristic equation of analytic Toeplitz operators is obtained.

关键词: Toeplitz operator, Hardy space, Fredholm theory

Abstract:

Key words: Toeplitz operator, Hardy space, Fredholm theory

中图分类号:

47B35

谢佩珠, 曹广福. TOEPLITZ OPERATORS ON HEISENBERG GROUP[J]. 数学物理学报(英文版), 2013, 33(6): 1589-1597.

XIE Pei-Zhu, CAO Guang-Fu. TOEPLITZ OPERATORS ON HEISENBERG GROUP[J]. Acta mathematica scientia,Series B, 2013, 33(6): 1589-1597.

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TOEPLITZ OPERATORS ON HEISENBERG GROUP

TOEPLITZ OPERATORS ON HEISENBERG GROUP

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