A simple proof of the $L^p$ continuity of the higher order Riesz transforms with respect to the gaussian measure $\gamma _d$

Forzani, Liliana; Scotto, Roberto; Urbina, Wilfredo

A simple proof of the

L^{p}

continuity of the higher order Riesz transforms with respect to the gaussian measure

γ_{d}

Forzani, Liliana ; Scotto, Roberto ; Urbina, Wilfredo

Séminaire de probabilités de Strasbourg, Tome 35 (2001), p. 162-166 / Harvested from Numdam

Access to full text
Full (PDF)
Full (DJVU)

Publié le : 2001-01-01

MR 1837285 | Zbl 1006.47030

@article{SPS_2001__35__162_0,
     author = {Forzani, Liliana and Scotto, Roberto and Urbina, Wilfredo},
     title = {A simple proof of the $L^p$ continuity of the higher order Riesz transforms with respect to the gaussian measure $\gamma \_d$},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {35},
     year = {2001},
     pages = {162-166},
     mrnumber = {1837285},
     zbl = {1006.47030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_2001__35__162_0}
}

Forzani, Liliana; Scotto, Roberto; Urbina, Wilfredo. A simple proof of the $L^p$ continuity of the higher order Riesz transforms with respect to the gaussian measure $\gamma _d$. Séminaire de probabilités de Strasbourg, Tome 35 (2001) pp. 162-166. http://gdmltest.u-ga.fr/item/SPS_2001__35__162_0/

Bibliographie

1. Gundy, R. Sur les transformations de Riesz pour le semigroupe d'Ornstein-Uhlenbeck, C.R. Acad. Sci. 303 (Série I) (1986), 967-970. | MR 877182 | Zbl 0606.60063

2. Gutiérrez, C. On the Riesz transforms for the Gaussian measure. J. Fourier Anal. 120 (1) (1994) 107-134. | MR 1262249 | Zbl 0807.46030

3. Gutiérrez, C., Segovia C. & J.L. Torrea. On higher Riesz transforms for the Gaussian measure. J. Fourier Anal. Appl. Vol 2 #6 (1996) 583-596. | Zbl 0893.42007

4. Meyer, P.A. Transformations de Riesz pour les lois gaussiennes. Lectures Notes in Math. 1059 (1984) Springer-Verlag.Berlin. 179-193 . | Numdam | MR 770960 | Zbl 0543.60078

5. Pisier, G. Riesz transform: a simpler analytic proof of P. A. Meyer inequality. Lectures Notes in Math 1321. Springer-Verlag (1988) 485-501. | Numdam | MR 960544 | Zbl 0645.60061

6. Urbina, W. Singular Integrals with respect to the Gaussian measure . Scuola Normale Superiore di Pisa. Classe di Science. Serie IV Vol XVIII, 4 (1990) 531-567. | Numdam | MR 1093708 | Zbl 0737.42018