Some Analytical Results on the Ornstein-Uhlenbeck Semigroup in Infinitely Many Dimensions

P. A. Meyer

Recherche Coopérative sur Programme n°25 (1982)

  • Volume: 30, page 126-133

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Meyer, P. A.. "Some Analytical Results on the Ornstein-Uhlenbeck Semigroup in Infinitely Many Dimensions." Recherche Coopérative sur Programme n°25 30 (1982): 126-133. <http://eudml.org/doc/274149>.

@article{Meyer1982,
author = {Meyer, P. A.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {126-133},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Some Analytical Results on the Ornstein-Uhlenbeck Semigroup in Infinitely Many Dimensions},
url = {http://eudml.org/doc/274149},
volume = {30},
year = {1982},
}

TY - JOUR
AU - Meyer, P. A.
TI - Some Analytical Results on the Ornstein-Uhlenbeck Semigroup in Infinitely Many Dimensions
JO - Recherche Coopérative sur Programme n°25
PY - 1982
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 30
SP - 126
EP - 133
LA - eng
UR - http://eudml.org/doc/274149
ER -

References

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  1. [1] T. Hida. Brownian motion. Springer1980. Zbl0432.60002MR562914
  2. [2] L. Gross. Logarithmic Sobolev inequalities. Amer. J. Math.97, 1976, p. 1061-1083. Zbl0318.46049MR420249
  3. [3] G.F. Feissner. Hypercontractive semigroups and Sobolev's inequality. Trans. A.M.S.210, 1975, p. 51-62. Zbl0308.46034MR511867
  4. [4]a, P. A. Meyer. Note sur le processus d'Ornstein-Uhlenbeck and Inégalités de Sobolev logarithmiques I (with D. Bakry ) . To appear in 1982 in : Sém. de Probabilités XVI, Lecture Notes in M. Zbl0481.60041
  5. 4]b, P. A. Meyer. Note sur le processus d'Ornstein-Uhlenbeck and Inégalités de Sobolev logarithmiques II (with D. Bakry ) . To appear in 1982 in : Sém. de Probabilités XVI, Lecture Notes in M. Zbl0481.60041
  6. [5]a, P.A. Meyer. Démonstration probabiliste de certaines inégalités de Littlewood-Paley. Sém. Prob. X, LN 511, p. 125-183, Springer1976 Zbl0332.60032MR501379
  7. [5]b P.A. Meyer and : Retour sur la théorie de Littlewood-Paley, Sém. Prob XV, LN 850, Springer1981 (corrects a mistake of preceding one). Zbl0485.60070MR622560
  8. [6] E.M. Stein. Singular integrals and differentiability properties of functions. Princeton Math Series n°30, 1970. Zbl0207.13501MR290095
  9. [7] E.M. Stein. Topics in harmonic analysis related to the Littlewood-Paley theory. PrincetonAnn. Math. Studies63, 1970. Zbl0193.10502MR252961
  10. [8] D. Stroock. The Malliavin calculus and its applications to 2nd order parabolic differential equations I. Math. Systems Th.13, 1981. Zbl0459.60052MR603973

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