Some Connections Between Isoperimetric and Sobolev-Type Inequalities - Couverture souple

Bobkov, Serguei; Houdre, Christian

Couverture souple

ISBN 10 : 0821806424 ISBN 13 : 9780821806425

Editeur : American Mathematical Society, 1997

Synopsis

For Borel probability measures on metric spaces, the authors study the interplay between isoperimetric and Sobolev-type inequalities. In particular the question of finding optimal constants via isoperimetric quantities is explored. Also given are necessary and sufficient conditions for the equivalence between the extremality of some sets in the isoperimetric problem and the validity of some analytic inequalities. Much attention is devoted to probability distributions on the real line, the normalized Lebesgue measure on the Euclidean spheres, and the canonical Gaussian measure on the Euclidean space.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0821806424
• ISBN 13: 9780821806425
• Reliure: Broché
• Nombre de pages: 111
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible