Optimal Young's inequality and its converse:a simple proof
Functional Analysis
2016-09-07 v1
Abstract
We give a new proof of the sharp form of Young's inequality for convolutions, first proved by Beckner [Be] and Brascamp-Lieb [BL]. The latter also proved a sharp reverse inequality in the case of exponents less than . Our proof is simpler and gives Young's inequality and its converse altogether.
Keywords
Cite
@article{arxiv.math/9704210,
title = {Optimal Young's inequality and its converse:a simple proof},
author = {Franck Barthe},
journal= {arXiv preprint arXiv:math/9704210},
year = {2016}
}