BOUNDARY REGULARITY OF BERGMAN KERNEL IN HoLDER SPACE

被引：0
|
作者：
Shi, Ziming [1 ]
机构：
[1] Rutgers Univ New Brunswick, Dept Math, Piscataway, NJ 08901 USA
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2023年 / 324卷 / 01期
关键词：
Bergman kernel; Bergman projection; strictly pseudoconvex domain; STRICTLY PSEUDOCONVEX DOMAINS; BIHOLOMORPHIC-MAPPINGS; PROJECTION; LIPSCHITZ; EXTENSION; OPERATORS; COMPLEX;
D O I：
10.2140/pjm.2023.324.157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let D be a bounded strictly pseudoconvex domain in Cn. Assuming bD & ISIN; Ck+3+& alpha; where k is a nonnegative integer and 0 < & alpha; < 1, we show that (1) the Bergman kernel B( & BULL; , w0) & ISIN; Ck+min{& alpha;,1/2}( over bar D), for any w0 & ISIN; D and (2) the Bergman projection on D is a bounded operator from Ck+& beta; (D) to Ck+min{& alpha;,& beta; /2}(D) for any 0 < & beta; < 1. Our results both improve and generalize the work of E. Ligocka.
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页码：157 / 206
页数：52
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