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100   $a19970513h19971997  uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSome connections between isoperimetric and Sobolev-type inequalities /$fSerguei G. Bobkov, Christian Houdre?
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1997]
210  4$dİ1997
215   $a1 online resource (127 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 616
300   $a"September 1997, volume 129, number 616 (end of volume)."
311   $a0-8218-0642-4 
320   $aIncludes bibliographical references (pages 109-111).
327   $a""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)""
327   $a""13 The isoperimetric problem on the real line""""14 Isoperimetric and Sobolev-type inequalities on the real line""; ""15 Extensions of Sobolev-type inequalities to product measures on R[sup(n)]""; ""References""
410  0$aMemoirs of the American Mathematical Society ;$vno. 616.
606   $aSobolov spaces
606   $aGeometric measure theory
606   $aUniform distribution (Probability theory)
606   $aGaussian processes
615  0$aSobolov spaces.
615  0$aGeometric measure theory.
615  0$aUniform distribution (Probability theory)
615  0$aGaussian processes.
676   $a813/.54
676   $a510 s
676   $a515/.73
700   $aBobkov$b Serguei G$g(Serguei Germanovich),$f1961-$01521050
702   $aHoudre?$b Christian
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788733303321
996   $aSome connections between isoperimetric and Sobolev-type inequalities$93861774
997   $aUNINA