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

被引：35
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.
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页码：255 / 277
页数：23
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