Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup
Classical Analysis and ODEs
2007-05-23 v1 Analysis of PDEs
Abstract
In this paper we are going to get the non tangential convergence, in an appropriated parabolic "gaussian cone", of the Ornstein-Uhlenbeck semigroup in providing two proofs of this fact. One is a direct proof by using the truncated non tangential maximal function associated. The second one is obtained by using a general statement. This second proof also allows us to get a similar result for the Poisson-Hermite semigroup.
Cite
@article{arxiv.math/0611040,
title = {Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup},
author = {Ebner Pineda and Wilfredo Urbina},
journal= {arXiv preprint arXiv:math/0611040},
year = {2007}
}
Comments
20 pages