THE HULL OF HOLOMORPHY OF A NONISOTROPIC BALL IN A REAL HYPERSURFACE OF FINITE-TYPE

被引：11

作者：

BOGGESS, A

DWILEWICZ, R

NAGEL, A

机构：

[1] INST MATH,PL-0091 WARSAW,POLAND

[2] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 323卷 / 01期

关键词：

D O I：

10.2307/2001624

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the hull of holomorphy of a nonisotropic ball in a real hypersurface of finite type in C(n) contains an open set in C(n) which emanates from the hypersurface a distance which is proportional to the length of the minor axis of the nonisotropic ball. In addition, we prove a maximal function estimate for plurisubharmonic functions which is important in the study of boundary values of holomorphic functions.

引用

页码：209 / 232

页数：24

共 12 条

[1] A PROPERTY OF THE FUNCTIONS AND DISTRIBUTIONS ANNIHILATED BY A LOCALLY INTEGRABLE SYSTEM OF COMPLEX VECTOR-FIELDS [J].