Integral isoperimetric transference and dimensionless Sobolev inequalities

Joaquim Martín; Mario Milman

doi:10.1007/s13163-014-0153-7

Integral isoperimetric transference and dimensionless Sobolev inequalities

Joaquim Martín, Mario Milman

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© 2014, Universidad Complutense de Madrid. We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincaré inequalities with constants independent of the dimension. In the special case of L^q spaces on the unit n-dimensional cube our results extend the recent inequalities that were obtained in Fiorenza et al. (2012) using extrapolation.

Idioma original	Anglès
Pàgines (de-a)	359-392
Revista	Revista Matematica Complutense
Volum	28
DOIs	https://doi.org/10.1007/s13163-014-0153-7
Estat de la publicació	Publicada - 1 de maig 2015

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10.1007/s13163-014-0153-7

https://ddd.uab.cat/record/268403

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title = "Integral isoperimetric transference and dimensionless Sobolev inequalities",

abstract = "{\textcopyright} 2014, Universidad Complutense de Madrid. We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincar{\'e} inequalities with constants independent of the dimension. In the special case of Lq spaces on the unit n-dimensional cube our results extend the recent inequalities that were obtained in Fiorenza et al. (2012) using extrapolation.",

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

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

year = "2015",

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doi = "10.1007/s13163-014-0153-7",

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AU - Martín, Joaquim

AU - Milman, Mario

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AB - © 2014, Universidad Complutense de Madrid. We introduce the concept of Gaussian integral isoperimetric transfer and show how it can be applied to obtain a new class of sharp Sobolev-Poincaré inequalities with constants independent of the dimension. In the special case of Lq spaces on the unit n-dimensional cube our results extend the recent inequalities that were obtained in Fiorenza et al. (2012) using extrapolation.

KW - Extrapolation

KW - Symmetrization

KW - Sobolev inequalities

KW - Isoperimetric inequalities

UR - https://dialnet.unirioja.es/servlet/articulo?codigo=5146166

U2 - 10.1007/s13163-014-0153-7

DO - 10.1007/s13163-014-0153-7

M3 - Article

SN - 1139-1138

VL - 28

SP - 359

EP - 392

JO - Revista Matematica Complutense

JF - Revista Matematica Complutense

ER -

Integral isoperimetric transference and dimensionless Sobolev inequalities

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