OPTIMAL HOLDER REGULARITY FOR THE partial derivative PROBLEM ON PRODUCT DOMAINS IN C2

被引：1
|
作者：
Zhang, Yuan [1 ]
机构：
[1] Purdue Univ, Dept Math Sci, Ft Wayne, IN 46805 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 07期
关键词：
partial derivative problem; product domains; Holder spaces; optimal;
D O I：
10.1090/proc/15766
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The note concerns the partial derivative problem on product domains in C-2. We show that there exists a bounded solution operator from C-k,C- alpha into itself, k is an element of Z(+) boolean OR{0}, 0 < alpha < 1. The regularity result is optimal in view of an example of Stein-Kerzman.
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页码：2937 / 2943
页数：7
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