Riesz transform and integration by parts formulas for random variables

Autor: Bally, Vlad, Caramellino, Lucia
Rok vydání: 2009
Předmět:
Zdroj: Stochastic Processes and their Applications 121, 1332-1355, 2011
Druh dokumentu: Working Paper
Popis: We use integration by parts formulas to give estimates for the $L^p$ norm of the Riesz transform. This is motivated by the representation formula for conditional expectations of functionals on the Wiener space already given in Malliavin and Thalmaier. As a consequence, we obtain regularity and estimates for the density of non degenerated functionals on the Wiener space. We also give a semi-distance which characterizes the convergence to the boundary of the set of the strict positivity points for the density.
Databáze: arXiv