A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel
Artikel i vetenskaplig tidskrift, 2016

In the n-dimensional Ornstein-Uhlenbeck setting, a Lipschitz space was defined by Gatto and Urbina, in terms of the gradient of the Ornstein-Uhlenbeck Poisson integral of the function. We show that this space can also be described as a Lipschitz space in the ordinary sense, by means of an inequality for the modulus of continuity. The proof is based on several estimates for the Ornstein-Uhlenbeck Poisson kernel and its gradient, also of independent interest.

Författare

Liguang Liu

Peter Sjögren

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Revista Matematica Iberoamericana

0213-2230 (ISSN)

Vol. 32 1189--1210-

Fundament

Grundläggande vetenskaper

Ämneskategorier

Matematisk analys

DOI

10.4171/RMI/912