On Supnorm Estimates for partial derivative on Infinite Type Convex Domains in C2

被引：0

作者：

Fornaess, John Erik ^{[1
]}

Lee, Lina ^{[1
]}

Zhang, Yuan ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2011年 / 21卷 / 03期

基金：

美国国家科学基金会;

关键词：

Supnorm estimate; Infinite D'Angelo type; Pseudoconvex; FINITE-TYPE; PSEUDOCONVEX DOMAINS; HOLDER;

D O I：

10.1007/s12220-010-9155-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the partial derivative equation on some convex domains of infinite type in C-2. In detail, we prove that supnorm estimates hold for infinite exponential type domains, provided the exponent is less than 1.

引用

页码：495 / 512

页数：18

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