Tangential Lipschitz gain for holomorphic functions on domains of finite type

被引：0

作者：

Ravisankar, Sivaguru ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

MATHEMATISCHE ANNALEN | 2016年 / 364卷 / 1-2期

关键词：

BOUNDARY-BEHAVIOR; CONVEX DOMAINS; BERGMAN-KERNEL;

D O I：

10.1007/s00208-015-1216-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Functions that are holomorphic and Lipschitz in a smoothly bounded domain enjoy a gain in the order of Lipschitz regularity in the complex tangential directions near the boundary. We describe this gain explicitly in terms of the defining function near points of finite type in the boundary.

引用

页码：439 / 451

页数：13

共 17 条

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