Miyachi's Theorem for the k-Hankel Transform on Rd

被引：0

作者：

Boubatra, Mohamed Amine ^{[1
,2
]}

机构：

[1] Teacher Equcat Coll Set, POB 556, El Eulma 19600, Setif, Algeria

[2] Univ Ferhat Abbes Setif 1, Lab Appl Math, Setif, Algeria

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2023年 / 63卷 / 03期

关键词：

k -Hankel transform; Miyachi's theorem; Hardy's theorem;

D O I：

10.5666/KMJ.2023.63.3.425

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Hardy Theorem on R states that a function f and its Fourier transform cannot be simultaneously very small; this fact was generalized by Miyachi in terms of L-1 + L-infinity and log(+)-functions. In this paper, we consider the k-Hankel transform, which is a deformation of the Hankel transform by a parameter k > 0 arising from Dunkl's theory. We study Miyachi's theorem for the k-Hankel transform on R-d.

引用

页码：425 / 435

页数：11

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