SINGULAR MEASURES AND HAUSDORFF MEASURES

被引：8

作者：

SMORODINSKY, M

机构：

[1] University of California, Berkeley

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1969年 / 7卷 / 03期

关键词：

D O I：

10.1007/BF02787612

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An example is given of a family of singular probability measures on the unit interval which are supported on a set of fractional Hausdorff dimension but cannot be represented as Hausdorff measures. © 1969 The Weizmann Science Press of Israel.

引用

页码：203 / +

页数：1

共 6 条

[1]

Billingsley P, 1961, ILLINOIS J MATH, V5, P291

[2]

Billingsley P., 1960, ILLINOIS J MATH, V4, P187

[3] THE INDIVIDUAL ERGODIC THEOREM OF INFORMATION-THEORY [J].

BREIMAN, L .

ANNALS OF MATHEMATICAL STATISTICS, 1957, 28 (03) :809-811

[4]

BREIMAN L, 1960, ANN MATH STAT, V31, P809, DOI 10.1214/aoms/1177705812

[5] The general form of the so-called law of the iterated logarithm [J].

Feller, W. .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1943, 54 (1-3) :373-402

[6]

KINNEY JR, 1958, P AM MATH SOC, V9, P603

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