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.

引用

页码：771 / 796

页数：26

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