@article{PS_1997__1__391_0, author = {Bakry, Dominique and Concordet, D. and Ledoux, Michel}, title = {Optimal heat kernel bounds under logarithmic {Sobolev} inequalities}, journal = {ESAIM: Probability and Statistics}, pages = {391--407}, publisher = {EDP-Sciences}, volume = {1}, year = {1997}, zbl = {0898.58052}, mrnumber = {1486642}, language = {en}, url = {http://archive.numdam.org/item/PS_1997__1__391_0/} }
TY - JOUR AU - Bakry, Dominique AU - Concordet, D. AU - Ledoux, Michel TI - Optimal heat kernel bounds under logarithmic Sobolev inequalities JO - ESAIM: Probability and Statistics PY - 1997 DA - 1997/// SP - 391 EP - 407 VL - 1 PB - EDP-Sciences UR - http://archive.numdam.org/item/PS_1997__1__391_0/ UR - https://zbmath.org/?q=an%3A0898.58052 UR - https://www.ams.org/mathscinet-getitem?mr=1486642 LA - en ID - PS_1997__1__391_0 ER -
Bakry, D.; Concordet, D.; Ledoux, M. Optimal heat kernel bounds under logarithmic Sobolev inequalities. ESAIM: Probability and Statistics, Tome 1 (1997), pp. 391-407. http://archive.numdam.org/item/PS_1997__1__391_0/
Nonlinear analysis on manifolds. Monge-Ampère equations, Springer. | MR 681859 | Zbl 0512.53044
( 1982),L'hypercontractivité et son utilisation en théorie des semigroupes, École d'Été de Probabilités de St-Flour, Lecture Notes in Math. 1581 1-114, Springer. | MR 1307413 | Zbl 0856.47026
( 1994),Sobolev inequalities in disguise, Indiana J. Math. 44 1034-1074. | MR 1386760 | Zbl 0857.26006
, , , ( 1995),Superadditivity of Fisher's information and logarithmic Sobolev inequalities, J. Funct. Anal. 101 194-211. | MR 1132315 | Zbl 0732.60020
( 1991),Upperbounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré 23 245-287. | Numdam | MR 898496 | Zbl 0634.60066
, , ( 1987),Sharp constant in Nash's inequality. Duke Math. J., International Math. Research Notices 7 213-215. | Zbl 0822.35018
, ( 1993),Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier- Stokes equation, Duke Math. J. 81 135-157. | MR 1381974 | Zbl 0859.35011
, ( 1995),Riemannian geometry : a modern introduction, Cambridge Univ. Press. | MR 1271141 | Zbl 0810.53001
( 1993),Heat kernels and spectral theory, Cambridge Univ. Press. | MR 990239 | Zbl 0699.35006
( 1989),Logarithmic Sobolev inequalities, Amer. J. Math. 97 1061-1083. | MR 420249 | Zbl 0318.46049
( 1975),Quelques remarques sur l'hypercontractivité, J. Funct. Anal. 111 155-196. | MR 1200640 | Zbl 0807.47027
, , ( 1993),Large time behavior of the heat equation on complete manifolds with non-negative Ricci curvature, Ann. Math. 124 1-21. | MR 847950 | Zbl 0613.58032
( 1986),On the parabolic kernel of the Schrödinger operator, Acta Math. 156 153-201. | MR 834612 | Zbl 0611.58045
, ( 1986),Gaussian kernels have only Gaussian maximizers, Invent. math. 102 179-208. | MR 1069246 | Zbl 0726.42005
( 1990),Sobolev inequalities for weight spaces and supercontractivity, Trans. Amer. Math. Soc. 22 367-376. | MR 425601 | Zbl 0344.46072
( 1976),Hardy-Littlewood theory for semigroups. J. Funct. Anal. 63 240-260. | MR 803094 | Zbl 0608.47047
( 1985),