Optimal Young's inequality and its converse: A simple proof
type: Item
instance of: scholarly article
title: Optimal Young's inequality and its converse: A simple proof
zbMATH Open document ID: 0902.26009
published in: Geometric and Functional Analysis. GAFA
publication date: 1998-12-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/9704210
review text: This is a noteworthy paper. The author gives a new proof of the sharp form of Young's inequality and its converse inequality for convolutions. The author states that his proof is easygoing and elementary compared to the proof given by \textit{H. J. Brascamp} and \textit{E. H. Lieb} in their fundamental paper [Adv. Math. 20, 151-173 (1976; Zbl 0339.26020)], but, in my view, the present proof applies some deep results and considerations, too. However, it is true that the author gives a reputable unified treatment of the Young inequality and its converse inequality.
reviewed by: László Leindler
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 1156778
zbMATH Keywords: Young's inequality
zbMATH Keywords: converse inequality
author: Franck Barthe
MaRDI profile type: Publication
OpenAlex ID: W2080624030
arXiv ID: math/9704210
DOI: 10.1007/S000390050054
description: scientific article