HARDY INEQUALITY AND FRACTAL MEASURES

被引：5

作者：

HUDSON, S

LECKBAND, M

机构：

[1] Department of Mathematics, Florida International University, University Park, Miami

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 108卷 / 01期

关键词：

D O I：

10.1016/0022-1236(92)90148-C

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Hardy's inequality and the subsequent improvement by McGehee, Pigno, and Smith are generalized from the positive integers to sets of dimension 0, dimension 1, and in between. The asymptotic estimate obtained for the Fourier transform of fractal measures is much in the spirit of recent work by Strichartz. © 1992.

引用

页码：133 / 160

页数：28

共 12 条

[1] ASYMPTOTIC PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH SIMPLE CHARACTERISTICS [J].