Restriction of holomorphic functions on finite type domains in C2

被引：0
|
作者：
Jasiczak, M. [1 ,2 ]
机构：
[1] Fac Math & Comp Sci, PL-61614 Poznan, Poland
[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland
来源：
MANUSCRIPTA MATHEMATICA | 2010年 / 133卷 / 1-2期
关键词：
CONVEX DOMAINS; PSEUDOCONVEX DOMAINS; EXTENSION; BERGMAN; KERNELS;
D O I：
10.1007/s00229-010-0358-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a necessary condition for functions which are holomorphic on a non-singular subvariety of a smoothly bounded domain of finite type in C-2 to admit an extension to a function belonging to the Bergman space on the whole domain. The method can also be used to obtain the embedding results for the scale of Bergman spaces.
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页码：1 / 18
页数：18
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