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.
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页码：650 / 660
页数：11
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