Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Strong Logarithmic Sobolev Inequalities for Log-Subharmonic Functions

Abstract : We prove an intrinsic equivalence between strong hypercontractivity and a strong logarithmic Sobolev inequality for the cone of logarithmically subharmonic (LSH) functions. We introduce a new large class of measures, Euclidean regular and exponential type, in addition to all compactly-supported measures, for which this equivalence holds. We prove a Sobolev density theorem through LSH functions, and use it to prove the equivalence of strong hypercontractivity and strong logarithmic Sobolev inequality for such log-subharmonic functions.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [34 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00906171
Contributor : Piotr Graczyk Connect in order to contact the contributor
Submitted on : Wednesday, November 27, 2013 - 10:03:04 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:39 AM
Long-term archiving on: : Friday, February 28, 2014 - 4:36:31 AM

Files

GKL-2013_14_11.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00906171, version 1

Collections

Citation

Piotr Graczyk, Todd Kemp, Jean-Jacques Loeb. Strong Logarithmic Sobolev Inequalities for Log-Subharmonic Functions. 2013. ⟨hal-00906171⟩

Share

Metrics

Record views

348

Files downloads

166