gaussianharmonicanalysis

Gaussian Harmonic Analysis

Forzani, L; Sasso, E and Scotto, R. Weak-type Inequalities for higher order Riesz-Laguerre Transforms. To appear in Journal of Functional Analysis

Betancor, J.; Forzani, L.; Scotto, R.; Urbina, W. On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup. Quaestiones Mathematicae. (2007) pp. 471-482(12)

Forzani, L., Harboure, E., Scotto, R. Gaussian Harmonic Analyisis. Chapter of a book in honor to Carlos Segovia, 2008.

Aimar, H.; Forzani, L.; Scotto, R. On Riesz transforms and maximal functions in the context of Gaussian harmonic analysis. Trans. Amer. Math. Soc. 359 (2007), no. 5, 2137--2154

Forzani, L.; Macías, R.; Scotto, R. Pointwise convergence of the Ornstein-Uhlenbeck semigroup. (Spanish) Proceedings of the Seventh "Dr. Antonio A. R. Monteiro" Congress of Mathematics, 101--114, Univ. Nac. del Sur, Bahía Blanca, 2003.

Forzani, Liliana; Scotto, Roberto; Sjögren, Peter; Urbina, Wilfredo On the $L\sp p$ boundedness of the non-centered Gaussian Hardy-Littlewood maximal function. Proc. Amer. Math. Soc. 130 (2002), no. 1, 73--79

Forzani, Liliana; Urbina, Wilfredo Poisson-Hermite representation of solutions for the equation $(\partial\sp 2/\partial t\sp 2)u(x,t)+\Delta\sb x u(x,t)-2x·\nabla\sb x u(x,t)=0$. Approximation, optimization and mathematical economics (Pointe-à-Pitre, 1999), 109--115, Physica, Heidelberg, 2001.

Forzani, Liliana; Scotto, Roberto; Urbina, Wilfredo A simple proof of the $L\sp p$ continuity of the higher order Riesz transforms with respect to the Gaussian measure $\gamma\sb d$. Séminaire de Probabilités, XXXV, 162--166, Lecture Notes in Math., 1755, Springer, Berlin, 2001.

Forzani, Liliana; Scotto, Roberto; Urbina, Wilfredo Riesz and Bessel potentials, the $g\sp k$ functions and an area function for the Gaussian measure $\gamma$. Rev. Un. Mat. Argentina 42 (2000), no. 1, 17--37 (2001).

Forzani, Liliana; Scotto, Roberto The higher order Riesz transform for Gaussian measure need not be of weak type $(1,1)$. Studia Math. 131 (1998), no. 3, 205--214.