Sur les inégalités de Sobolev logarithmiques, I

Dominique Bakry; Paul-André Meyer

Séminaire de probabilités de Strasbourg (1982)

  • Volume: 16, page 138-145

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Bakry, Dominique, and Meyer, Paul-André. "Sur les inégalités de Sobolev logarithmiques, I." Séminaire de probabilités de Strasbourg 16 (1982): 138-145. <http://eudml.org/doc/113364>.

@article{Bakry1982,
author = {Bakry, Dominique, Meyer, Paul-André},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Sobolev logarithmic inequality; Ornstein-Uhlenbeck semigroup; hypercontractivity},
language = {fre},
pages = {138-145},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Sur les inégalités de Sobolev logarithmiques, I},
url = {http://eudml.org/doc/113364},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Bakry, Dominique
AU - Meyer, Paul-André
TI - Sur les inégalités de Sobolev logarithmiques, I
JO - Séminaire de probabilités de Strasbourg
PY - 1982
PB - Springer - Lecture Notes in Mathematics
VL - 16
SP - 138
EP - 145
LA - fre
KW - Sobolev logarithmic inequality; Ornstein-Uhlenbeck semigroup; hypercontractivity
UR - http://eudml.org/doc/113364
ER -

References

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  1. [1]. Feissner ( G.F.). Hypercontractive semigroups and Sobolev's inequality. Trans. Amer. M. Soc.210, 1975, p. 51-62. Zbl0308.46034MR511867
  2. [2]. Gross ( L.). Logarithmic Sobolev inequalities. Amer. J. Math.97, 1976, p.1061-1083. Zbl0318.46049MR420249
  3. [3]. Neveu ( J.). Sur l'espérance conditionnelle par rapport à un mouvement brownien. Ann. Inst. H. Poincaré, XII, 1976, p 105-110. Zbl0356.60028MR431400
  4. [4]. Stein ( E.M.). Topics in harmonic analysis related to the Littlewood Paley theory. Annals of Math. Studies63, Princeton 1970. Zbl0193.10502MR252961

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