Some Connections Between Isoperimetric and Sobolev-Type Inequalities - Brossura

Bobkov, Serguei G.; Houdre, Christian

Brossura

ISBN 10: 0821806424 ISBN 13: 9780821806425

Casa editrice: Amer Mathematical Society, 1997

Riassunto

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.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0821806424
• ISBN 13: 9780821806425
• Rilegatura: Copertina flessibile
• Numero di pagine: 111
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile