WEIGHTED SOBOLEV REGULARITY OF THE BERGMAN PROJECTION ON THE HARTOGS TRIANGLE

被引：8
|
作者：
Chen, Liwei [1 ]
机构：
[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2017年 / 288卷 / 02期
关键词：
Hartogs triangle; Bergman projection; Sobolev regularity; L-P; DOMAINS; SZEGO;
D O I：
10.2140/pjm.2017.288.307
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a weighted Sobolev estimate of the Bergman projection on the Hartogs triangle, where the weight is some power of the distance to the singularity at the boundary. This method also applies to the n-dimensional generalization of the Hartogs triangle.
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页码：307 / 318
页数：12
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