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Optimal Young's inequality and its converse: A simple proof
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
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Submitted on : Thursday, May 3, 2012 - 11:35:39 AM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Thursday, May 3, 2012 - 11:35:39 AM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
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