Non tangential convergence for the Ornstein-Uhlenbeck semigroup

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.

Año de publicación:

2008

Keywords:

• Poisson-Hermite semigroup
• Ornstein-Uhlenbeck semigroup
• Non tangential convergence
• Hermite expansions

Fuente:

google

scopus