On the Makarov law of the iterated logarithm

被引：10

作者：

Hedenmalm, Hakan ^{[1
]}

Kayumov, Ilgiz

机构：

[1] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

[2] Kazan VI Lenin State Univ, Inst Math & Mech, Kazan 420008, Russia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 07期

关键词：

conformal mapping; law of the iterated logarithm;

D O I：

10.1090/S0002-9939-07-08772-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain considerable improvement of Makarov's estimate of the boundary behavior of a general conformal mapping from the unit disk to a simply connected domain in the complex plane. We apply the result to improve Makarov's comparison of harmonic measure with Hausdorff measure on simply connected domains.

引用

页码：2235 / 2248

页数：14

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