BECKNER LOGARITHMIC UNCERTAINTY PRINCIPLE FOR THE RIEMANN-LIOUVILLE OPERATOR

被引：17

作者：

Amri, Besma ^{[1
]}

Rachdi, Lakhdar T. ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 2092 2, Tunisia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2013年 / 24卷 / 09期

关键词：

Riemann-Liouville operator; Fourier transform; B-Riesz potential; Stein-Weiss inequality; Pitt's inequality; logarithmic uncertainty principle;

D O I：

10.1142/S0129167X13500705

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

First, we establish the Stein-Weiss inequality for the B-Riesz potential generated by the Riemann-Liouville operator. Next, we prove the Pitt's and Beckner logarithmic inequalities related to the connected Fourier transform.

引用

页数：29

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