From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity
Analysis of PDEs
2017-09-26 v1 Complex Variables
Probability
Abstract
We show how Beckner's montonicity result on Hamming cube easily implies the monotonicity of a flow introduced by Janson in Hausdorff--Young inequality
Cite
@article{arxiv.1709.08095,
title = {From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity},
author = {Paata Ivanisvili and Alexander Volberg},
journal= {arXiv preprint arXiv:1709.08095},
year = {2017}
}