Estimates of Green potentials. Applications

被引：2
|
作者：
Danchenko, VI [1 ]
机构：
[1] Vladimir State Univ, Vladimir, Russia
来源：
SBORNIK MATHEMATICS | 2003年 / 194卷 / 1-2期
关键词：
D O I：
10.1070/SM2003v194n01ABEH000706
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Optimal Cartan-type covers by hyperbolic discs of carriers of Green alpha-potentials are obtained in a simply connected domain in. the complex plane and estimates of the potentials outside the carriers axe presented. These results are applied to problems on the separation of singularities of analytic and harmonic functions. For instance, uniform and integral estimates in terms of Green capacities of components of meromorphic functions are obtained.
引用
收藏
页码：63 / 88
页数：26
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