Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces

被引：1

作者：

Na, Kyunguk ^{[1
]}

机构：

[1] Hanshin Univ, Gyeonggi 447791, South Korea

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2009年 / 64卷 / 03期

关键词：

Toeplitz operator; Schatten-Herz type; pluriharmonic Bergman space;

D O I：

10.1007/s00020-009-1688-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study characterizations of arbitrary positive Toeplitz operators of Schatten (or Schatten-Herz) type in terms of averaging functions and Berezin transforms of symbol functions on the ball of pluriharmonic Bergman space.

引用

页码：409 / 428

页数：20

共 10 条

[1] Positive Schatten class Toeplitz operators on the ball [J].

Choe, Boo Rim ;

Koo, Hyungwoon ;

Lee, Young Joo .

STUDIA MATHEMATICA, 2008, 189 (01) :65-90

[2] Positive Toeplitz operators of Schatten-Herz type [J].

Choe, Boorim ;

Koo, Hyungwoon ;

Na, Kyunguk .

NAGOYA MATHEMATICAL JOURNAL, 2007, 185 :31-62

[3] Toeplitz operators on harmonic Bergman spaces [J].

Choe, BR ;

Lee, YJ ;

Na, K .

NAGOYA MATHEMATICAL JOURNAL, 2004, 174 :165-186

[4] Positive Toeplitz operators on pluriharmonic Bergman spaces [J].

Choi, Eun Sun .

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, 47 (02) :247-267

[5] Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces [J].

Choi, Eun Sun ;

Na, Kyunguk .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) :679-694

[6]

Hernández E, 1999, MATH NACHR, V205, P69

[7] Herz classes and Toeplitz operators in the disk [J].

Loaiza, M ;

López-García, M ;

Pérez-Esteva, S .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2005, 53 (02) :287-296

[8]

Rudin W., 1980, FUNCTION THEORY UNIT

[9]

ZHU K, 1989, OPERATOR THEORY FUNC

[10]

ZHU K, 2004, GTM, V226

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