OPTIMAL NORM ESTIMATE OF OPERATORS RELATED TO THE HARMONIC BERGMAN PROJECTION ON THE BALL

被引：19

作者：

Choe, Boo Rim ^{[1
]}

Koo, Hyungwoon ^{[1
]}

Nam, Kyesook ^{[2
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136713, South Korea

[2] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

来源：

TOHOKU MATHEMATICAL JOURNAL | 2010年 / 62卷 / 03期

关键词：

Weighted harmonic Bergman kernel; Harmonic Bergman projection; SPACES; UNIT;

D O I：

10.2748/tmj/1287148616

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We first obtain an optimal norm estimate for one-parameter family of operators associated with the weighted harmonic Bergman projections on the ball. We then use this result and derive an optimal norm estimate for the weighted harmonic Bergman projections.

引用

页码：357 / 374

页数：18

共 9 条

[1]

[Anonymous], 2007, OPERATOR THEORY FUNC

[2]

Axler S., 1992, Harmonic function theory

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