Poincaré inequalities and Sobolev spaces
MacManus, Paul (Phillips Exeter Academy (Exeter, Estats Units d'Amèrica))

Date:	2002
Abstract:	Our understsanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings. This paper reviews some of these new results and techniques and concludes with an example on the preservation of Sobolev spaces by the maximal function.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Poincaré inequalities ; Sobolev inequalities ; Metric spaces ; Doubling measures
Published in:	Publicacions matemàtiques, Vol. Extra (2002) , p. 181-197, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/38036
DOI: 10.5565/PUBLMAT_Esco02_08

17 p, 258.2 KB

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