Riesz transforms : a simpler analytic proof of P. A. Meyer's inequality

Gilles Pisier

Séminaire de probabilités de Strasbourg (1988)

  • Volume: 22, page 485-501

How to cite

top

Pisier, Gilles. "Riesz transforms : a simpler analytic proof of P. A. Meyer's inequality." Séminaire de probabilités de Strasbourg 22 (1988): 485-501. <http://eudml.org/doc/113650>.

@article{Pisier1988,
author = {Pisier, Gilles},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {Riesz transforms; Hermite polynomials; Ornstein-Uhlenbeck process; Gauss measure},
language = {fre},
pages = {485-501},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Riesz transforms : a simpler analytic proof of P. A. Meyer's inequality},
url = {http://eudml.org/doc/113650},
volume = {22},
year = {1988},
}

TY - JOUR
AU - Pisier, Gilles
TI - Riesz transforms : a simpler analytic proof of P. A. Meyer's inequality
JO - Séminaire de probabilités de Strasbourg
PY - 1988
PB - Springer - Lecture Notes in Mathematics
VL - 22
SP - 485
EP - 501
LA - fre
KW - Riesz transforms; Hermite polynomials; Ornstein-Uhlenbeck process; Gauss measure
UR - http://eudml.org/doc/113650
ER -

References

top
  1. [B1 ] Bakry D. - Transformation de Riesz pour les semi-groupes symétriques. Séminaire de Proba. XIX, SpringerLecture Notes n° 1123, (1985) 130-175. Zbl0561.42010
  2. [B2] Bakry D. - Etude des transformations de Riesz dans les variétés riemanniennes à courbure de Ricci minorées. Séminaire de Proba. XXI, SpringerLecture Notes n° 1247, (1987), 137-172. Zbl0629.58018
  3. [Ba] Bañuelos R. - Martingale transforms and related singular integrals. Trans. A.M.S.293 (1986) 547-564. Zbl0591.60045
  4. [Bo] Bourgain J. - Some remarks on Banach spaces in which martingale difference sequences are unconditional. Arkiv för Math.21 (1983) 163-168. Zbl0533.46008
  5. [Bu] Burkholder D. - A geometrical condition that implies the existence of certain singular integrals of Banach-space-valued functions. Proc. Conf. Harmonic Analysis (in honor of A. Zygmund). University of Chicago, March 1981. 
  6. [CW] Coifman R., Weiss G. - Transference methods in analysis. (A.M.S.) CBMS n° 31. Zbl0377.43001
  7. [DR ] Duoand Ikoetxea J., RUBIO de FRANCIA J.L. - Estimations indépendantes de la dimension pour les transformées de Riesz.C.R. Acad. Sci.300, Série I (1985) 193-196. Zbl0577.42015
  8. [Gr] Gross L. - Logarithmic Sobolev inequalities. Amer. J. Math.97 (1975) 1061-1083. Zbl0318.46049
  9. [G] Gundy R. - Sur les transformations de Riesz pour le semi-groupe d'Ornstein-Uhlenbeck. C.R. Acad. Sci. t. 303 (Série I) (1986) 967-970. Zbl0606.60063
  10. [GV] Gundy R., Varopoulos N. - Les transformations de Riesz et les intégrales stochastiques. C.R. Acad. Sci.Paris A289 (1979) 13-16. Zbl0413.60003
  11. [H ] Haagerup U. - The best constants in the Khintchine inequalities. Studia Math.70 (1982) 231-283. Zbl0501.46015
  12. [M1] Meyer P.A. - Transformations de Riesz pour les lois gaussiennes. Séminaire de Proba. XVIII. SpringerLecture Notes n° 1059, (1984) 179-193. Zbl0543.60078
  13. [M2] Meyer P.A. - Sur la théorie de Littlewood-Paley-Stein d'après Coifman-Weiss et Cowling. Séminaire de Proba. XIX, SpringerLecture Notes n° 1123 (1985) 113-129. Zbl0574.47028
  14. [Mu] Muckenhoupt B. - Hermite conjugate expansions. Trans. A.M.S.139 (1969) 243-260. Zbl0175.12701
  15. [N] Neveu J. - Processus aléatoires gaussiens. (1968) Presses de l'Université de Montreal. Zbl0192.54701
  16. [P] Pisier G. - Probabilistic Methods in the Geometry of Banach spaces. C.I.M.E.Varenna, 1985, SpringerLecture Notes n° 1206, (1986) 167-241. Zbl0606.60008
  17. [S ] Stein E.M. - Some results in Harmonic Analysis in IRn for n → ∞ . Bull. Amer. Math. Soc.9 (1983) 71-73. Zbl0515.42018

Citations in EuDML Documents

top
  1. Liliana Forzani, Roberto Scotto, Wilfredo Urbina, A simple proof of the L p continuity of the higher order Riesz transforms with respect to the gaussian measure γ d
  2. Denis Feyel, A. de La Pradelle, Capacités gaussiennes
  3. Shiqi Song, C-semigroups on Banach spaces and functional inequalities
  4. Giancarlo Mauceri, Moltiplicatori spettrali per l'operatore di Ornstein-Uhlenbeck
  5. Pascal Auscher, Thierry Coulhon, Xuan Thinh Duong, Steve Hofmann, Riesz transform on manifolds and heat kernel regularity
  6. Michel Ledoux, Inégalités isopérimétriques en analyse et probabilités

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.