Optimal Young's inequality and its converse: A simple proof
Barthe, Franck
HAL, hal-00693977 / Harvested from HAL
Text on HAL
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.
Publié le : 1998-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693977,
     author = {Barthe, Franck},
     title = {Optimal Young's inequality and its converse: A simple proof},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693977}
}

Barthe, Franck. Optimal Young's inequality and its converse: A simple proof. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693977/