BOUNDEDNESS OF BEREZIN TRANSFORM ON HERZ SPACES

被引：0

作者：

Cho, Chu-Hee ^{[1
]}

Na, Kyunguk ^{[2
]}

机构：

[1] Seoul Natl Univ, Sch Math Sci, Seoul 151742, South Korea

[2] Hanshin Univ, Gyeonggi 447791, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Berezin transform; Schatten space; Herz space; TOEPLITZ-OPERATORS;

D O I：

10.4134/JKMS.2012.49.4.829

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give the condition for the boundedness of the Berezin transforms on Herz spaces with a normal weight on the unit ball of C-n. And we provide the integral estimates concerning pluriharmonic kernel functions. Using this, we finally obtain the growth estimates of the Berezin transforms on such Herz spaces.

引用

页码：829 / 842

页数：14

共 5 条

[1]

[Anonymous], RIMS KYOKUROKU

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

Choe, Boorim ;

Koo, Hyungwoon ;

Na, Kyunguk .

NAGOYA MATHEMATICAL JOURNAL, 2007, 185 :31-62

[3] 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

[4] Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces [J].

Na, Kyunguk .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 64 (03) :409-428

[5]

Rudin W., 1980, FUNCTION THEORY UNIT

← 1 →