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Volumn 13, Issue 1, 2001, Pages 1-18

On the cases of equality in Bobkov's inequality and Gaussian rearrangement

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EID: 0346487146     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009921     Document Type: Article
Times cited : (91)

References (13)
  • 1
    • 84968521876 scopus 로고
    • Symmetric Decreasing Rearrangement is Sometimes Continuous
    • Almgren, Frederick J. and Lieb, Elliott H.: Symmetric Decreasing Rearrangement is Sometimes Continuous, Journal of the A.M.S. 2(4): 1989
    • (1989) Journal of the A.M.S. , vol.2 , Issue.4
    • Almgren, F.J.1    Lieb, E.H.2
  • 2
    • 0030533361 scopus 로고    scopus 로고
    • Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
    • D. Bakry, M. Ledoux: Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator, Invent. Math. 123(2): 259-281, 1996
    • (1996) Invent. Math. , vol.123 , Issue.2 , pp. 259-281
    • Bakry, D.1    Ledoux, M.2
  • 3
    • 0031497687 scopus 로고    scopus 로고
    • An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space
    • Bobkov, S.G.: An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space, Annals of Prob. 25: 206-214, 1997
    • (1997) Annals of Prob. , vol.25 , pp. 206-214
    • Bobkov, S.G.1
  • 6
    • 0000413834 scopus 로고
    • Inégalités Isopérimetriques et Intégrales de Dirichlet Gaussiennes
    • Ehrhard, Antoine: Inégalités Isopérimetriques et Intégrales de Dirichlet Gaussiennes, Ann. Scient. Ec. Norm. Sup. 4(17), 1984
    • (1984) Ann. Scient. Ec. Norm. Sup. , vol.4 , Issue.17
    • Ehrhard, A.1
  • 9
    • 34250956789 scopus 로고
    • Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises
    • Krahn, E.: Über eine von Rayleigh formulierte Minimaleigenschaft des Kreises, Mathematische Annalen 94: 97-100, 1924
    • (1924) Mathematische Annalen , vol.94 , pp. 97-100
    • Krahn, E.1
  • 10
    • 0344562683 scopus 로고    scopus 로고
    • A Short Proof of the Gaussian Isoperimetric Inequality
    • Ledoux, Michel: A Short Proof of the Gaussian Isoperimetric Inequality, Progress in Pobability 43, 1998
    • (1998) Progress in Pobability , vol.43
    • Ledoux, M.1
  • 11
    • 85037264096 scopus 로고
    • Über die Entwicklung einer Funktion von beliebig vielen Variablen nach Laplaceschen Funktionen
    • Mehler, F. G.: Über die Entwicklung einer Funktion von beliebig vielen Variablen nach Laplaceschen Funktionen, Crelle's Journal 66, 1866
    • (1866) Crelle's Journal , vol.66
    • Mehler, F.G.1
  • 13
    • 0003320025 scopus 로고
    • Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
    • Springer-Verlag
    • Ziemer, William P.: Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation, Graduate Texts in Mathathematics 120, Springer-Verlag, 1989
    • (1989) Graduate Texts in Mathathematics , vol.120
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.