Some connections between isoperimetric and Sobolev-type inequalities / / Serguei G. Bobkov, Christian Houdré

• Autore: Bobkov Serguei G (Serguei Germanovich), <1961->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1997]; ©1997
• Descrizione fisica: 1 online resource (127 p.)
• Disciplina: 813/.54; 510 s; 515/.73
• Soggetto topico: Sobolov spaces; Geometric measure theory; Uniform distribution (Probability theory); Gaussian processes
• Persona (resp. second.): HoudréChristian
• Note generali: "September 1997, volume 129, number 616 (end of volume)."
• Nota di bibliografia: Includes bibliographical references (pages 109-111).
• Nota di contenuto: ""Table of Contents""; ""Abstract""; ""1 Introduction""; ""2 Differential and integral forms of isoperimetric inequalities""; ""3 Proof of Theorem 1.1""; ""4 A relation between the distribution of a function and its derivative""; ""5 A variational problem""; ""6 The discrete version of Theorem 5.1""; ""7 Proof of Propositions 1.3 and 1.5""; ""8 A special case of Theorem 1.2""; ""9 The uniform distribution on the sphere""; ""10 Existence of optimal Orlicz spaces""; ""11 Proof of Theorem 1.9 (the case of the sphere)""; ""12 Proof of Theorem 1.9 (the Gaussian case)"" ; ""13 The isoperimetric problem on the real line""""14 Isoperimetric and Sobolev-type inequalities on the real line""; ""15 Extensions of Sobolev-type inequalities to product measures on R[sup(n)]""; ""References""
• Titolo autorizzato: Some connections between isoperimetric and Sobolev-type inequalities
• ISBN: 1-4704-0201-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910828260803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 616.