SOLVING THE KERZMAN'S PROBLEM ON THE SUP-NORM ESTIMATE FOR partial derivative ON PRODUCT DOMAINS

被引：1
|
作者：
Li, Song-Ying [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 09期
关键词：
DELTA-BAR; EQUATION; LIPSCHITZ; HOLDER; INTERSECTIONS; BOUNDARIES; REGULARITY; PROJECTION; OPERATORS;
D O I：
10.1090/tran/9208
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the author solves the long term open problem of Kerzman on sup -norm estimate for Cauchy-Riemann equation on polydisc in n -dimensional complex space. The problem has been open since 1971. He also extends and solves the problem on product domains Omega(n), n , where Omega is any bounded domain in C with C (1 ,alpha )boundary for some alpha > 0.
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页码：6725 / 6750
页数：26
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