arXiv math/06110402006-11-02math.CAmath.AP

Non Tangential Convergence for the Ornstein-Uhlenbeck Semigroup

Ebner Pineda, Wilfredo Urbina

备注：: 20 pages

英文摘要：

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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