ANALYTIC CAPACITY - DISCRETE APPROACH AND CURVATURE OF MEASURE

被引：80
|
作者：
MELNIKOV, MS
机构：
来源：
SBORNIK MATHEMATICS | 1995年 / 186卷 / 5-6期
关键词：
D O I：
10.1070/SM1995v186n06ABEH000045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Certain discrete 'computable' quantities are introduced, and their interconnections and relations with analytic capacity are found out. The concept of curvature of a measure is introduced, which emerges naturally in the computations of the L(2)-norm of the Cauchy transform of this measure. A. lower bound on the analytic capacity, which uses the measure curvature and which has, to this extent, a geometric nature, is obtained.
引用
收藏
页码：827 / 846
页数：20
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