Abstract : 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.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693977 Contributor : Admin LamaConnect in order to contact the contributor Submitted on : Thursday, May 3, 2012 - 11:35:39 AM Last modification on : Saturday, January 15, 2022 - 4:02:29 AM