Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Joaquim Martín; Mario Milman

Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Joaquim Martín, Mario Milman

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Resum

Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts. © 2008 Elsevier Inc. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	149-178
Revista	Journal of Functional Analysis
Volum	256
Estat de la publicació	Publicada - 1 de gen. 2009

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https://ddd.uab.cat/record/271417

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https://www.scopus.com/pages/publications/55649105199

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title = "Isoperimetry and symmetrization for logarithmic Sobolev inequalities",

abstract = "Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts. {\textcopyright} 2008 Elsevier Inc. All rights reserved.",

keywords = "Isoperimetric inequalities, Logarithmic Sobolev inequalities, Symmetrization",

author = "Joaquim Mart{\'i}n and Mario Milman",

year = "2009",

month = jan,

day = "1",

language = "English",

volume = "256",

pages = "149--178",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Isoperimetry and symmetrization for logarithmic Sobolev inequalities

AU - Martín, Joaquim

AU - Milman, Mario

PY - 2009/1/1

Y1 - 2009/1/1

N2 - Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts. © 2008 Elsevier Inc. All rights reserved.

AB - Using isoperimetry and symmetrization we provide a unified framework to study the classical and logarithmic Sobolev inequalities. In particular, we obtain new Gaussian symmetrization inequalities and connect them with logarithmic Sobolev inequalities. Our methods are very general and can be easily adapted to more general contexts. © 2008 Elsevier Inc. All rights reserved.

KW - Isoperimetric inequalities

KW - Logarithmic Sobolev inequalities

KW - Symmetrization

UR - https://www.scopus.com/pages/publications/55649105199

M3 - Article

SN - 0022-1236

VL - 256

SP - 149

EP - 178

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

ER -

Isoperimetry and symmetrization for logarithmic Sobolev inequalities

Resum

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