ON UNIFORM APPROXIMATION OF HARMONIC FUNCTIONS

被引：2

作者：

Mazalov, M. Ya. ^{[1
]}

机构：

[1] AM Vasilevskii Mil Acad Air Def, Mil Forces RF, Smolensk 214027, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2012年 / 23卷 / 04期

关键词：

Uniform approximation; harmonic functions; capacities; singular integrals; Carleson measures; APPROXIMABILITY;

D O I：

10.1090/S1061-0022-2012-01215-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to uniform approximation by harmonic functions on compact sets. The result is an approximation theorem for an individual function under the condition that, on the complement to the compact set, the harmonic capacity is "homogeneous" in a sense. The proof involves a refinement of Vitushkin's localization method.

引用

页码：731 / 759

页数：29

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