Hypercontractivity of simple random variables
Volume 180 / 2007
Studia Mathematica 180 (2007), 219-236
MSC: Primary 60E15.
DOI: 10.4064/sm180-3-3
Abstract
The optimal hypercontractivity constant for a natural operator semigroup acting on a discrete finite probability space is established up to a universal factor. The two-point spaces are proved to be the extremal case. The constants obtained are also optimal in the related moment inequalities for sums of independent random variables.
