Isometries and Toeplitz operators of Bergman space of bounded symmetric domains

被引：2

作者：

Ding, XH ^{[1
]}

机构：

[1] Guilin Inst Elect Technol, Dept Math & Comp Sci, Guilin 541004, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 309卷 / 02期

基金：

中国国家自然科学基金;

关键词：

isometry; Toeplitz operators; symmetric domain; Bergman space;

D O I：

10.1016/j.jmaa.2004.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we completely characterize the isometrics of Bergman space L-a(p) (Omega) (0 <= p < infinity, p not equal 2) of bounded symmetric domains. We also prove that a pair of Toeplitz operators T-f and T (g) on L-a(p) (Omega) (0 < p < infinity, p not equal 2) is isometric equivalence if and only if there is a T is an element of Aut(Omega), such that g = f o tau, where Aut(Omega) is the automorphism group of Omega. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：650 / 660

页数：11

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