Lp-NORM ESTIMATE FOR THE BERGMAN PROJECTIONS

被引：0
|
作者：
Zhang, Shuo [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2020年 / 46卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Bergman projection; L-p-norm estimate; generalized Hartogs triangle; SZEGO PROJECTIONS; KERNEL; BOUNDEDNESS; OPERATORS; DOMAINS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the L-p-norm estimates for the Bergman projection operators on several types of generalized Hartogs triangles in this note. As a direct application of our main results, we obtain the asymptotic behaviors for the L-p-norm of the Bergman projections when p tends to the endpoints of the range of p in which the Bergman projection operators are bounded on L-p spaces.
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页码：771 / 796
页数：26
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