The image of a finely holomorphic map is pluripolar

被引：7
作者：
Edigarian, Armen [1 ]
El Marzguioui, Said [2 ]
Wiegerinck, Jan [2 ]
机构：
[1] Jagiellonian Univ, Inst Math, PL-30348 Krakow, Poland
[2] Univ Amsterdam, KdV Inst Math, NL-1090 GE Amsterdam, Netherlands
来源：
ANNALES POLONICI MATHEMATICI | 2010年 / 97卷 / 02期
关键词：
finely holomorphic functions; pluripolar sets; GRAPHS; HULLS; SINGULARITIES; CONTINUATION; SETS;
D O I：
10.4064/ap97-2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the image of a finely holomorphic map on a fine domain in C is a pluripolar subset of C(n). We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
引用
收藏
页码：137 / 149
页数：13
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