Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain

被引：6

作者：

Yamaji, Satoshi ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2013年 / 65卷 / 04期

关键词：

Toeplitz operator; essential norm; Bergman space; bounded homogeneous domain; minimal domain; SYMMETRIC DOMAINS;

D O I：

10.2969/jmsj/06541101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give criteria for the boundedness of positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain in terms of the Berezin symbol or the averaging function of the symbol. Moreover, we estimate the essential norm of positive Toeplitz operators assuming that they are bounded. As an application of these estimates, we also give necessary and sufficient conditions for the positive Toeplitz operators to be compact.

引用

页码：1101 / 1115

页数：15

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