02855nam 2200637 450 991048075510332120170822144428.01-4704-0201-7(CKB)3360000000464800(EBL)3114525(SSID)ssj0000889218(PQKBManifestationID)11482811(PQKBTitleCode)TC0000889218(PQKBWorkID)10876202(PQKB)11545574(MiAaPQ)EBC3114525(PPN)195415000(EXLCZ)99336000000046480019970513h19971997 uy| 0engur|n|---|||||txtccrSome connections between isoperimetric and Sobolev-type inequalities /Serguei G. Bobkov, Christian HoudréProvidence, Rhode Island :American Mathematical Society,[1997]©19971 online resource (127 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 616"September 1997, volume 129, number 616 (end of volume)."0-8218-0642-4 Includes bibliographical references (pages 109-111).""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""Memoirs of the American Mathematical Society ;no. 616.Sobolov spacesGeometric measure theoryUniform distribution (Probability theory)Gaussian processesElectronic books.Sobolov spaces.Geometric measure theory.Uniform distribution (Probability theory)Gaussian processes.813/.54510 s515/.73Bobkov Serguei G(Serguei Germanovich),1961-997152Houdré ChristianMiAaPQMiAaPQMiAaPQBOOK9910480755103321Some connections between isoperimetric and Sobolev-type inequalities2286740UNINA