On the logarithmic potential defined for a Van Koch curve

被引：0
|
作者：
Stanislav P. Ponomarev
机构：
[1] Institute of Mathematics,
来源：
Siberian Mathematical Journal | 2009年 / 50卷
关键词：
Van Koch’s curve; logarithmic potential; Cauchy-type integral; Robin’s problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This is a continuation of [1]. Under study are the differentiability properties of the logarithmic potential determined for some class of complex measures distributed on Van Koch’s curves. Unlike the classical case of regular curves, the potential is shown to be of class C1 on the whole plane ℂ. We also study a related analog of Robin’s problem. The proofs are based on some results of [1].
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页码：898 / 906
页数：8
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