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Duke Mathematical Journal

Volumn 85, Issue 1, 1996, Pages 253-270

Sobolev inequalities and Myers's diameter theorem for an abstract Markov generator

(2) Bakry, D a Ledoux, M a

a INSTITUT DE MATHÉMATIQUES DE TOULOUSE (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001039718 PISSN: 00127094 EISSN: None Source Type: Journal
DOI: 10.1215/S0012-7094-96-08511-7 Document Type: Article

Times cited : (85)

References (17)

1
- 0000920853
- Logarithmic Sobolev inequalities and exponential integrability
- S. AIDA, T. MASUDA, AND I. SHIGEKAWA, Logarithmic Sobolev inequalities and exponential integrability, J. Fund. Anal. 126 (1994), 83-101.
- (1994) J. Fund. Anal. , vol.126 , pp. 83-101
- Aida, S.¹ Masuda, T.² Shigekawa, I.³

2
- 0003255464
- Nonlinear analysis on manifolds, Monge-Ampère equations
- Springer-Verlag, Berlin
- TH. AUBIN, Nonlinear Analysis on Manifolds, Monge-Ampère Equations, Grundlehren Math. Wiss. 252, Springer-Verlag, Berlin, 1982.
- (1982) Grundlehren Math. Wiss. , vol.252
- Aubin, Th.¹

3
- 0040578353
- 2
- Séminaire de Probabilités, Vol. 25, Springer-Verlag, Berlin
- 2" in Séminaire de Probabilités, Vol. 25, Lecture Notes in Math. 1485, Springer-Verlag, Berlin, 1991, 234-261.
- (1991) Lecture Notes in Math. , vol.1485 , pp. 234-261
- Bakry, D.¹

4
- 0002925263
- L'hypercontractivité et son utilisation en théorie des semigroupes
- Ecole d'Eté de Probabilités de Saint-Flour, 1992, Springer-Verlag, Berlin
- _, "L'hypercontractivité et son utilisation en théorie des semigroupes" in Ecole d'Eté de Probabilités de Saint-Flour, 1992, Lecture Notes in Math. 1581, Springer-Verlag, Berlin, 1994, 1-114.
- (1994) Lecture Notes in Math. , vol.1581 , pp. 1-114

5
- 0039985424
- Inégalités de Sobolev et minorations du semigroupe de la chaleur
- D. BAKRY AND D. MICHEL, Inégalités de Sobolev et minorations du semigroupe de la chaleur, Ann. Fac. Sci. Toulouse Math. (5) 11 (1990), 23-66.
- (1990) Ann. Fac. Sci. Toulouse Math. (5) , vol.11 , pp. 23-66
- Bakry, D.¹ Michel, D.²

6
- 0000759151
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- W. BECKNER, Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality, Ann. of Math. (2) 138 (1993), 213-242.
- (1993) Ann. of Math. (2) , vol.138 , pp. 213-242
- Beckner, W.¹

7
- 0003333796
- Riemannian geometry: A modern introduction
- Cambridge Univ. Press, Cambridge
- I. CHAVEL, Riemannian Geometry: A Modern Introduction, Cambridge Tracts in Math., Cambridge Univ. Press, Cambridge, 1993
- (1993) Cambridge Tracts in Math.
- Chavel, I.¹

8
- 0005748835
- The relation between the laplacian and the diameter for manifolds of non-negative curvature
- Basel
- J. CHEEGER, The relation between the Laplacian and the diameter for manifolds of non-negative curvature, Arch. Math. (Basel) 19 (1968), 558-560.
- (1968) Arch. Math. , vol.19 , pp. 558-560
- Cheeger, J.¹

9
- 0001593889
- Eigenvalue comparison theorems and its geometric applications
- S.-Y. CHENG, Eigenvalue comparison theorems and its geometric applications, Math. Z. 143 (1975), 289-297.
- (1975) Math. Z. , vol.143 , pp. 289-297
- Cheng, S.-Y.¹

10
- 0039393280
- Sur les constantes de sobolev des variétés riemanniennes compactes et les fonctions extrémales des sphères
- E. FONTENAS, Sur les constantes de Sobolev des variétés riemanniennes compactes et les fonctions extrémales des sphères, to appear in Bull. Sci. Math. (2).
- Bull. Sci. Math. (2)
- Fontenas, E.¹

11
- 0004265476
- Universitext, Springer-Verlag, Berlin
- S. GALLOT, D. HULIN, AND J. LAFONTAINE, Riemannian Geometry, 2nd ed., Universitext, Springer-Verlag, Berlin, 1990.
- (1990) Riemannian Geometry, 2nd Ed.
- Gallot, S.¹ Hulin, D.² Lafontaine, J.³

12
- 0000916122
- Constantes explicites pour les inégalités de Sobolev sur les variétés riemanniennes compactes
- Grenoble Fasc. 2
- S. ILIAS, Constantes explicites pour les inégalités de Sobolev sur les variétés riemanniennes compactes, Ann. Inst. Fourier (Grenoble) 33, Fasc. 2 (1983), 151-165.
- (1983) Ann. Inst. Fourier , vol.33 , pp. 151-165
- Ilias, S.¹

13
- 0009337398
- Remarks on logarithmic Sobolev constants, exponential integrability, and bounds on the diameter
- M. LEDOUX, Remarks on logarithmic Sobolev constants, exponential integrability, and bounds on the diameter, J. Math. Kyoto Univ. 35 (1995), 211-220.
- (1995) J. Math. Kyoto Univ. , vol.35 , pp. 211-220
- Ledoux, M.¹

14
- 84972514548
- Connections between differential geometry and topology
- S. B. MYERS, Connections between differential geometry and topology, Duke Math. J. 1 (1935), 376-391.
- (1935) Duke Math. J. , vol.1 , pp. 376-391
- Myers, S.B.¹

15
- 84972530225
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- M. OBATA, Certain conditions for a Riemannian manifold to be isometric with a sphere, J. Math. Soc. Japan 14 (1962), 333-340.
- (1962) J. Math. Soc. Japan , vol.14 , pp. 333-340
- Obata, M.¹

16
- 38249041598
- Hypercontractivity and the Bakry-Emery criterion for compact Lie groups
- O. S. ROTHAUS, Hypercontractivity and the Bakry-Emery criterion for compact Lie groups, J. Fund. Anal. 65 (1986), 358-367.
- (1986) J. Fund. Anal. , vol.65 , pp. 358-367
- Rothaus, O.S.¹

17
- 0041172572
- Riemannian spaces having their curvature bounded below by a positive number
- V. A. TOPOGONOV, Riemannian spaces having their curvature bounded below by a positive number, Uspekhi Mat. Nauk. 14 (1959), 87-135.
- (1959) Uspekhi Mat. Nauk. , vol.14 , pp. 87-135
- Topogonov, V.A.¹

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