Optimal young's inequality and its converse: a simple proof

被引：0

作者：

F. Barthe

机构：

[1] Equipe d'Analyse et de Mathématiques Appliquées,

[2] Université de Marne-la-Vallée,undefined

[3] Cité Descartes,undefined

[4] 5 boulevard Descartes,undefined

[5] Champs-sur Marne,undefined

[6] 77454 Marne-la-Vallée CEDEX 2,undefined

[7] France,undefined

[8] e-mail: barthe@clipper.ens.fr ,undefined

来源：

Geometric & Functional Analysis GAFA | 1998年 / 8卷

关键词：

Simple Proof; Reverse Inequality; Sharp Form;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a new proof of the sharp form of Young's inequality for convolutions, first proved by Beckner [Be] and Brascamp-Lieb [BrLi]. The latter also proved a sharp reverse inequality in the case of exponents less than 1. Our proof is simpler and gives Young's inequality and its converse altogether.

引用

页码：234 / 242

页数：8