An Lp version of the Hardy theorem for motion groups

被引：22

作者：

Eguchi, M

Koizumi, S

Kumahara, K

机构：

[1] Hiroshima Univ, Fac Integrated Arts & Sci, Higashihiroshima 7398521, Japan

[2] Onomichi Jr Coll, Onomichi 7228506, Japan

[3] Univ Air, Chiba 2618586, Japan

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 2000年 / 68卷

关键词：

uncertainty principle; Hardy theorem; motion group;

D O I：

10.1017/S1446788700001579

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a generalization of the Hardy theorem on the motion group. We prove that for some weight functions v, w growing very rapidly and a measurable function f, the finiteness of the L-p-norm of vf and the L-q-norm of w (f) over cap implies f = 0 (almost everywhere).

引用

页码：55 / 67

页数：13

共 9 条

[1] SUPPORT PROPERTIES OF LP-FUNCTIONS AND THEIR FOURIER-TRANSFORMS [J].