Inégalités de Sobolev et minorations du semi-groupe de la chaleur

Dominique Bakry; Dominique Michel

Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)

  • Volume: 11, Issue: 2, page 23-66
  • ISSN: 0240-2963

How to cite

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Bakry, Dominique, and Michel, Dominique. "Inégalités de Sobolev et minorations du semi-groupe de la chaleur." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.2 (1990): 23-66. <http://eudml.org/doc/73259>.

@article{Bakry1990,
author = {Bakry, Dominique, Michel, Dominique},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {weak Sobolev inequalities for a Dirichlet form; estimates on the associated heat semigroup; Gross' and Davies' methods; lower bounds; upper bounds; diameter of the space; Sobolev constants},
language = {fre},
number = {2},
pages = {23-66},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Inégalités de Sobolev et minorations du semi-groupe de la chaleur},
url = {http://eudml.org/doc/73259},
volume = {11},
year = {1990},
}

TY - JOUR
AU - Bakry, Dominique
AU - Michel, Dominique
TI - Inégalités de Sobolev et minorations du semi-groupe de la chaleur
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1990
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 2
SP - 23
EP - 66
LA - fre
KW - weak Sobolev inequalities for a Dirichlet form; estimates on the associated heat semigroup; Gross' and Davies' methods; lower bounds; upper bounds; diameter of the space; Sobolev constants
UR - http://eudml.org/doc/73259
ER -

References

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  1. [A] Aubin ( T.) . — Non linear analysis on manifolds, Monge-Ampère equations, Springer, Berlin-Heidelberg, New-York (1982) Zbl0512.53044
  2. [CS] Carlen ( E.) and Stroock ( D.W.) .— Hypercontractivity, ultracontractivity, Sobolev inequalities and all that, Preprint (1984) 
  3. [CKS] Carlen ( E.), Kusuoka ( S.) and Stroock ( D.W.) .— Upperbounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré23 (1987) pp. 245-287 Zbl0634.60066MR898496
  4. [D] Davies ( E.B.) .— Heat kernels and spectral theory, Cambridge Univ. Press.Berlin-Heidelberg, New-York (1989) Zbl0699.35006MR990239
  5. [DS] Davies ( E.B.) and Simon ( B.) .— Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet laplacians, J. Funct. Anal.59 (1984) pp. 335-395 Zbl0568.47034MR766493
  6. [DSt] Deuschel ( J.D.) and Strook ( D.W.) .— Large deviations, Ac. Press137 (1989) Zbl0705.60029MR997938
  7. [G] Gross ( L.) .— Logarithmic Sobolev inequalities, Amer. J. Math.97 (1976) pp. 1061-1083 Zbl0318.46049MR420249
  8. [V] Varopoulos ( N.) .— Hardy-Littlewood theory for semigroups, J. Funct. Anal.63 (1985) pp. 240-260 Zbl0608.47047MR803094

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