Hypercontractivity of simple random variables

• Autorzy: Paweł Wolff
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60E15: Inequalities; stochastic orderings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 3
• Strony: 219-236

Daty

wydano

2007

Twórcy

autor

Paweł Wolff

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm180-3-3