Sharp Forelli-Rudin estimates and the norm of the Bergman projection

被引：34

作者：

Liu, Congwen ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] Chinese Acad Sci, USTC, Wu Wen Tsun Key Lab Math, Beijing 100864, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2015年 / 268卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Sharp Forelli-Rudin estimates; Bergman projection; Norm estimates;

D O I：

10.1016/j.jfa.2014.09.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is twofold. We first establish a sharp version of Forelli-Rudin estimates for certain integrals on the ball. Then, as main application of these estimates, we obtain a sharp L-p-norm estimate for the Bergman projection, which refines a result of K. Zhu as well as gives a negative answer to a question raised by M. Dostanic. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：255 / 277

页数：23

共 19 条

[1]

Abramowitz M., 1965, APPL MATH SERIES, V55

[2]

[Anonymous], INTEGRAL TRANSFORMS

[3] OPTIMAL NORM ESTIMATE OF OPERATORS RELATED TO THE HARMONIC BERGMAN PROJECTION ON THE BALL [J].