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001 ocn903163362;

003 OCoLC;

005 20150728095110.0;

008 150421t20142014fr b 000 0 eng d;

010 a| 2015382880;

020 a| 9782856297964q| (pbk.);

020 a| 285629796Xq| (pbk.);

029 1 a| NLGGCb| 390814733;

029 1 a| AU@b| 000054355956;

035 a| (Sirsi) o903163362;

035 a| (OCoLC)903163362;

041 0 a| engb| engb| fre;

042 a| lccopycat;

049 a| EREE;

050 00 a| QA611.28b| .M37 2014;

100 1 a| Martín, Joaquime| author.=| ^A1265753;

245 10 a| Fractional Sobolev inequalities :b| symmetrization, isoperimetry and interpolation /c| Joaquim Martín, Mario Milman.;

264 1 a| Paris :b| Société mathématique de France publié avec le concours du Centre National de la Recherche Scientifique,c| 2014.;

300 a| viii, 127 pages ;c| 24 cm.;

336 a| textb| txt2| rdacontent;

337 a| unmediatedb| n2| rdamedia;

338 a| volumeb| nc2| rdacarrier;

490 1 a| Astérisque,x| 0303-1179 ;v| 366;

504 a| Includes bibliographical references (pages 121-127).;

505 0 a| Introduction -- Preliminaries -- Oscillations, K-functionals and isoperimetry -- Embedding into continuous functions -- Examples of applications -- Fractional Sobolev inequaliteis in Gaussian measures -- On limiting Sobolev embeddings and BMO -- Estimation of growth "envelopes" -- Lorentz spaces with negative indices -- Connection with the work of Garsia and his collaborators -- Some remarks on the calculation of K-functionals.;

520 a| We obtain new oscillation inequalities in metric spaces in terms of the Peetre K-functional and the isoperimetric profile. Applications provided include a detailed study of Fractional Sobolev inequalities and the Morrey-Sobolev embedding theorems in different contexts. In particular we include a detailed study of Gaussian measures as well as probability measures between Gaussian and exponential. We show a kind of reverse Polya-Szego principle that allows us to obtain continuity as a self improvement from boundedness, using symmetrization inequalities. Our methods also allow for preices estimates of growth envelopes of generalized Sobolev and besov spaces on metric spaces. We also consider embeddings into BMO and their connection to Sobolev embeddings.-Provided by publisher;

546 a| In English; abstract also in French.;

650 0 a| Metric spaces.=| ^A36925;

650 0 a| Sobolev spaces.=| ^A66042;

650 0 a| Inequalities (Mathematics)=| ^A22093;

700 1 a| Milman, Mario,e| author.=| ^A266160;

710 2 a| Société mathématique de Francee| publisher.=| ^A366244;

830 0 a| Astérisquev| 366.=| ^A682305;

938 a| Baker and Taylorb| BTCPn| BK0016772286;

938 a| YBP Library Servicesb| YANKn| 12327063;

949 a| QA611.28 .M37 2014h| JOYNER48o| jssbi| 30372015625780;

994 a| C0b| ERE;

596 a| 1;

998 a| 3766748;

999 a| QA611.28 .M37 2014w| LCc| 1i| 30372014723057d| 9/24/2015e| 6/11/2015l| JGESm| JOYNERr| Ys| Yt| JGESBKu| 6/9/2015x| BOOKz| JSTACKSo| .STAFF. jssb;

Fractional Sobolev inequalities : symmetrization, isoperimetry and interpolation / Joaquim Martín, Mario Milman.

Author/creator	Martín, Joaquim author.
Other author	Milman, Mario, author.
Other author	Société mathématique de France publisher.
Format	Book
Publication	Paris : Société mathématique de France publié avec le concours du Centre National de la Recherche Scientifique, 2014.
Copyright Date	©2014
Description	viii, 127 pages ; 24 cm.
Subjects	Metric spaces. Sobolev spaces. Inequalities (Mathematics)

Series	Astérisque, 0303-1179 ; 366 Astérisque 366. ^A682305
Contents	Introduction -- Preliminaries -- Oscillations, K-functionals and isoperimetry -- Embedding into continuous functions -- Examples of applications -- Fractional Sobolev inequaliteis in Gaussian measures -- On limiting Sobolev embeddings and BMO -- Estimation of growth "envelopes" -- Lorentz spaces with negative indices -- Connection with the work of Garsia and his collaborators -- Some remarks on the calculation of K-functionals.
Abstract	We obtain new oscillation inequalities in metric spaces in terms of the Peetre K-functional and the isoperimetric profile. Applications provided include a detailed study of Fractional Sobolev inequalities and the Morrey-Sobolev embedding theorems in different contexts. In particular we include a detailed study of Gaussian measures as well as probability measures between Gaussian and exponential. We show a kind of reverse Polya-Szego principle that allows us to obtain continuity as a self improvement from boundedness, using symmetrization inequalities. Our methods also allow for preices estimates of growth envelopes of generalized Sobolev and besov spaces on metric spaces. We also consider embeddings into BMO and their connection to Sobolev embeddings.-Provided by publisher
Bibliography note	Includes bibliographical references (pages 121-127).
Language	In English; abstract also in French.
LCCN	2015382880
ISBN	9782856297964 (pbk.)
ISBN	285629796X (pbk.)

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Joyner	General Stacks	QA611.28 .M37 2014	✔ Available	Place Hold

Fractional Sobolev inequalities : symmetrization, isoperimetry and interpolation / Joaquim Martín, Mario Milman.

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