Positive Toeplitz operators on pluriharmonic Bergman spaces

被引：6

作者：

Choi, Eun Sun ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2007年 / 47卷 / 02期

关键词：

D O I：

10.1215/kjm/1250281046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Toeplitz operators on the pluriharmonic Bergman spaces V for I < p < infinity. We give characterizations of Toeplitz operators with positive symbols to be bounded, compact and in the Schatten classes. Also, we describe the essential spectra of Toeplitz operators with uniformly continuous symbols.

引用

页码：247 / 267

页数：21

共 50 条

[1] Positive Toeplitz operators between the pluriharmonic Bergman spaces
Choi, Eun Sun
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (01) : 93 - 111
[2] Positive Toeplitz operators between the pluriharmonic Bergman spaces
Eun Sun Choi
[J]. Czechoslovak Mathematical Journal, 2008, 58 : 93 - 111
[3] Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces
Na, Kyunguk
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 64 (03) : 409 - 428
[4] Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces
Kyunguk Na
[J]. Integral Equations and Operator Theory, 2009, 64 : 409 - 428
[5] Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces
Choi, Eun Sun
Na, Kyunguk
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) : 679 - 694
[6] Pluriharmonic symbols of commuting Toeplitz type operators on the weighted Bergman spaces
Lee, YJ
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1998, 41 (02): : 129 - 136
[7] Commuting Toeplitz Operators on the Pluriharmonic Bergman Space
Young Joo Lee
[J]. Czechoslovak Mathematical Journal, 2004, 54 : 535 - 544
[8] TOEPLITZ OPERATORS ON WEIGHTED PLURIHARMONIC BERGMAN SPACE
Kong, Linghui
Lu, Yufeng
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 12 (02): : 439 - 455
[9] Commuting Toeplitz operators on the pluriharmonic Bergman space
Lee, YJ
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (02) : 535 - 544
[10] Positive Toeplitz operators between the harmonic Bergman spaces
Choe, BR
Koo, H
Yi, HS
[J]. POTENTIAL ANALYSIS, 2002, 17 (04) : 307 - 335

← 1 2 3 4 5 →