A generalization of Miyachi's theorem

被引：13

作者：

Daher, Radouan ^{[1
]}

Kawazoe, Takeshi ^{[2
]}

Mejjaoli, Hatem ^{[3
]}

机构：

[1] Univ Hassau 2, Fac Sci & Informat, Dept Math, Casablanca, Morocco

[2] Keio Univ Fujisawa, Dept Math, Kanagawa 2528520, Japan

[3] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2009年 / 61卷 / 02期

基金：

日本学术振兴会;

关键词：

Hardy's theorem; Miyachi's theorem; Radon transform; Dunkl transform; Chebli-Trimeche transform;

D O I：

10.2969/jmsj/06120551

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Hardy theorem on R; which asserts f and the Fourier transform of f cannot both be very small, was generalized by Miyachi in terms of L-1+L-infinity and log(+)-functions. In this paper we generalize Miyachi's theorem for R-d and then for other generalized Fourier transforms such as the Chebli-Trimeche and the Dunkl transforms.

引用

页码：551 / 558

页数：8

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