Displaying similar documents to “On Nonnegative Solutions of Random Systems of Linear Inequalities.”

Hypercontractivity of simple random variables

Paweł Wolff (2007)

Studia Mathematica

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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.