Une caractérisation intégrale de l'espace de Hajlasz-Sobolev

Marc Troyanov; Vladimir Gol'Dshtein

doi:10.1016/S0764-4442(01)02088-2

Une caractérisation intégrale de l'espace de Hajlasz-Sobolev

Translated title of the contribution: An integral characterization of Hajlasz-Sobolev space

Marc Troyanov, Vladimir Gol'Dshtein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality.

Translated title of the contribution	An integral characterization of Hajlasz-Sobolev space
Original language	French
Pages (from-to)	445-450
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	333
Issue number	5
DOIs	https://doi.org/10.1016/S0764-4442(01)02088-2
State	Published - 1 Sep 2001

ASJC Scopus subject areas

General Mathematics

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title = "Une caract{\'e}risation int{\'e}grale de l'espace de Hajlasz-Sobolev",

abstract = "We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincar{\'e}-type) inequality.",

author = "Marc Troyanov and Vladimir Gol'Dshtein",

year = "2001",

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doi = "10.1016/S0764-4442(01)02088-2",

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T1 - Une caractérisation intégrale de l'espace de Hajlasz-Sobolev

AU - Troyanov, Marc

AU - Gol'Dshtein, Vladimir

PY - 2001/9/1

Y1 - 2001/9/1

N2 - We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality.

AB - We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality.

UR - http://www.scopus.com/inward/record.url?scp=0041367469&partnerID=8YFLogxK

U2 - 10.1016/S0764-4442(01)02088-2

DO - 10.1016/S0764-4442(01)02088-2

M3 - מאמר

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SN - 0764-4442

VL - 333

SP - 445

EP - 450

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 5

ER -

Une caractérisation intégrale de l'espace de Hajlasz-Sobolev

Abstract

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