Vitali Covering Theorem in Hilbert space

被引：6

作者：

Tiser, J ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague 16627, Czech Republic

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 08期

关键词：

Vitali Covering Theorem; Gaussian measure; packing density;

D O I：

10.1090/S0002-9947-03-03296-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the statement of the Vitali Covering Theorem does not hold for a certain class of measures in a Hilbert space. This class contains all in finite-dimensional Gaussian measures.

引用

页码：3277 / 3289

页数：13

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