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
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.
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页码:209 / 232
页数:24
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