A note on coulhon type inequalities

Joaquim Martín; Mario Milman

doi:10.1090/S0002-9939-2014-12133-2

A note on coulhon type inequalities

Joaquim Martín, Mario Milman

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Abstract

© 2014 American Mathematical Society. T. Coulhon introduced an interesting reformulation of the usual Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.

Original language	English
Pages (from-to)	4221-4237
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-2014-12133-2
Publication status	Published - 1 Jan 2014

Keywords

Interpolation
Isoperimetric inequalities
Modulus of continuity
Sobolev inequalities
Symmetrization

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10.1090/S0002-9939-2014-12133-2

https://ddd.uab.cat/record/268329

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title = "A note on coulhon type inequalities",

abstract = "{\textcopyright} 2014 American Mathematical Society. T. Coulhon introduced an interesting reformulation of the usual Sobolev inequalities. We characterize Coulhon type inequalities in terms of rearrangement inequalities.",

keywords = "Interpolation, Isoperimetric inequalities, Modulus of continuity, Sobolev inequalities, Symmetrization",

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doi = "10.1090/S0002-9939-2014-12133-2",

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KW - Interpolation

KW - Isoperimetric inequalities

KW - Modulus of continuity

KW - Sobolev inequalities

KW - Symmetrization

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DO - 10.1090/S0002-9939-2014-12133-2

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EP - 4237

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

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A note on coulhon type inequalities

Abstract

Keywords

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