Hypercontractivity of simple random variables

Paweł Wolff

Studia Mathematica (2007)

  • Volume: 180, Issue: 3, page 219-236
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Paweł Wolff. "Hypercontractivity of simple random variables." Studia Mathematica 180.3 (2007): 219-236. <http://eudml.org/doc/284523>.

@article{PawełWolff2007,
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.},
author = {Paweł Wolff},
journal = {Studia Mathematica},
keywords = {discrete measure; hypercontractivity; moment inequality; simple random vector},
language = {eng},
number = {3},
pages = {219-236},
title = {Hypercontractivity of simple random variables},
url = {http://eudml.org/doc/284523},
volume = {180},
year = {2007},
}

TY - JOUR
AU - Paweł Wolff
TI - Hypercontractivity of simple random variables
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 3
SP - 219
EP - 236
AB - 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.
LA - eng
KW - discrete measure; hypercontractivity; moment inequality; simple random vector
UR - http://eudml.org/doc/284523
ER -

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