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UNINA9910480755103321 |
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Autore |
Bobkov Serguei G (Serguei Germanovich), <1961-> |
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Titolo |
Some connections between isoperimetric and Sobolev-type inequalities / / Serguei G. Bobkov, Christian Houdré |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1997] |
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©1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (127 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 616 |
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Disciplina |
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Soggetti |
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Sobolov spaces |
Geometric measure theory |
Uniform distribution (Probability theory) |
Gaussian processes |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1997, volume 129, number 616 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 109-111). |
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Nota di contenuto |
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""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"" |
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