On singular integrals with respect to the gaussian measure

Wilfredo Urbina

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 4, page 531-567
  • ISSN: 0391-173X

How to cite

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Urbina, Wilfredo. "On singular integrals with respect to the gaussian measure." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.4 (1990): 531-567. <http://eudml.org/doc/84086>.

@article{Urbina1990,
author = {Urbina, Wilfredo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Riesz transform; Ornstein-Uhlenbeck operator; Gaussian measure; probabilistic methods; singular integrals},
language = {eng},
number = {4},
pages = {531-567},
publisher = {Scuola normale superiore},
title = {On singular integrals with respect to the gaussian measure},
url = {http://eudml.org/doc/84086},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Urbina, Wilfredo
TI - On singular integrals with respect to the gaussian measure
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 4
SP - 531
EP - 567
LA - eng
KW - Riesz transform; Ornstein-Uhlenbeck operator; Gaussian measure; probabilistic methods; singular integrals
UR - http://eudml.org/doc/84086
ER -

References

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  1. [Ca] C.P. Calderón, Some remarks on the multiple Weierstrass Transform and Abel summability of multiple Fourier Series, Studia MathematicaXXXII (1969), 119-148. Zbl0182.15901
  2. [Gr] I.S. Gradshteeyn - S.M. Ryzhik, Table of Integrals, Series and Products, Academic Press (1986). 
  3. [Gu] R. Gundy, Sur les Transformations de Riesz pour le semigroup d'Ornstein-Uhlenbeck, C.R. Acad. Sci. Paris303 (Série I) (1986), 967-970. Zbl0606.60063
  4. [Ha] E. Harboure De Aguilera, Non-standard Truncations of Singular Integrals, Indiana Univ. Math. J. Vol. 28, 5 (1979), 779-790. Zbl0395.42011
  5. [Me] P.A. Meyer, Transformations de Riesz pour les lois Gaussiens, Sem. Prob. XVIII Springer Lecture Notes Math. 1059 (1984), 179-193. Zbl0543.60078
  6. [Mu-1] B. Muckenhoupt, Poisson Integrals for Hermite and Laguerre expansions, Trans. Amer. Math. Soc.139 (1969), 231-242. Zbl0175.12602
  7. [Mu-2] B. Muckenhoupt, Hermite conjugated expansions, Trans. Amer. Math. Soc.139 (1969), 243-260. Zbl0175.12701
  8. [Na] I.P. Natanson, Theory of Functions of a real variable, Vol. IIUngar, New York, (1960). 
  9. [Pi] G. Pisier, Riesz Transforms: a simpler analytic proof of P.A. Meyer inequality, preprint. 
  10. [Ste] E.M. Stein, Singular Integrals and differentiability properties of functions, Princeton University Press, Princeton, New Jersey, (1970). Zbl0207.13501
  11. [Str] D. Stroock, Notes on Malliavin Calculus, manuscript. 
  12. [Wa-1] S. Watanabe - N. Ikeda, An Introduction to Malliavin Calculus, Taniguchi Symp. S A Katata (1983), 1-52. Zbl0546.60055
  13. [Wa-2] S. Watanabe, Lecture on Stochastic Differential Equations and Malliavin Calculus, Tata InstituteSpringer Verlag (1984). Zbl0546.60054

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