Stability of holder estimates for partial derivative on pseudoconvex domains of finite type in C2

被引:0
|
作者
Cho, S [1 ]
Ahn, H [1 ]
Kim, S [1 ]
机构
[1] Sogang Univ, Dept Math, Seoul 121742, South Korea
关键词
D O I
10.1017/S0027763000006425
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let Omega be a smoothly bounded pseudoconvex domain in C-2 and let b Omega be of finite type m. Then we prove the stability of Holder estimates for partial derivative under some perturbations of b Omega. As an application, we prove the Mergelyan property with respect to C-alpha(<(Omega)over bar>) norms for 0 less than or equal to alpha < 1/m.
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页码:23 / 38
页数:16
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