CAUCHY SINGULAR-INTEGRALS AND RECTIFIABILITY OF MEASURES IN THE PLANE

被引：28

作者：

MATTILA, P

机构：

[1] University of Jyväskylä, Department of Mathematics, SF-40100 Jyvaskyld

来源：

ADVANCES IN MATHEMATICS | 1995年 / 115卷 / 01期

关键词：

D O I：

10.1006/aima.1995.1047

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

Let mu be a finite non-negative Borel measure on the complex plane C. We shall prove the following result: If for mu almost all alpha epsilon C [GRAPHICS] and the limit [GRAPHICS] exists and is finite, then mu is rectifiable in the sense that there are rectifiable curves Gamma(1), Gamma(2), such that [GRAPHICS] (C) 1995 Academic Press, Inc.

引用

页码：1 / 34

页数：34

共 12 条

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[2]

FEDERER H, 1969, GEOMETRIC MEASURE TH

[3]

A MEASURE WHICH IS SINGULAR AND UNIFORMLY LOCALLY UNIFORM [J].