Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup

Details Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup

2006-11-02

arxiv.org/abs/math/0611040v1

Mathematics

Classical Analysis and ODEs

20 pages

Scientific paper

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.

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