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.

引用

页码：6725 / 6750

页数：26

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