Estimates of logarithmic Sobolev constant: An improvement of Bakry-Emery criterion

Journal of Functional Analysis

Volumn 144, Issue 2, 1997, Pages 287-300

  Chen, Mu Fa ^a   Wang, Feng Yu ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031092148     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.3007     Document Type: Article

References (12)

1. Bakry D. L'hypercontractivité et son utilisation en théorie des semigroupes. LNM. Vol. 1581:1992;Springer, New York.
2. Bakry D., Emery M. Hypercontractivité de semigroups de diffusion. C.R. Acad. Sci. Paris Ser. 1. 209:1984;775-778.
3. Chen M. F., Wang F. Y. Estimation of the first eigenvalue of second order elliptic operators. J. Funct. Anal. 131:1993;345-363.
4. Deuschel J.-D., Stroock D. W. Large Deviations. 1989;Academic Press, New York.
5. Deuschel J.-D., Stroock D. W. Hypercontractivity and spectral gap of symmetric diffusion with applications to the stochastic Ising models. J. Funct. Anal. 92:1990;30-48.
6. Greene R. E., Wu H. Function Theory on Manifolds which Posses a Pole. LNM. Vol. 699:1979;Springer-Verlag.
7. Gross L. Logarithmic Sobolev inequalities. Amer. J. Math. 97:1975;1061-1083.
8. Gross L. Logarithmic Sobolev Inequalities and Contractivity of Semigroups. LNM. Vol. 1563:1993;Springer, New York.
9. Korzeniowski A. On logarithmic Sobolev constant for diffusion semigroups. J. Funct. Anal. 71:1987;363-370.
10. Wang F. Y. Application of coupling method to the Neumann eigenvalue problem. Probab. Theory Related Fields. 98:1994;299-306.
11. Wang F. Y. On estimation of logarithmic Sobolev constant. J. Beijing Normal Univ. 30:1994;448-452.
12. Wu H., Sheng Y. L., Yu Y. L. Preliminary of Riemannian Geometry. 1989;Beijing Univ. Press, Beijing.