A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel
Classical Analysis and ODEs
2014-04-16 v2
Abstract
The Gaussian Lipschitz space was defined by Gatto and Urbina, by means of the Ornstein-Uhlenbeck Poisson kernel. We give a characterization of this space in terms of a combination of ordinary Lipschitz continuity conditions. The main tools used in the proof are sharp estimates of the Ornstein-Uhlenbeck Poisson kernel and some of its derivatives.
Keywords
Cite
@article{arxiv.1401.4288,
title = {A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel},
author = {Liguang Liu and Peter Sjögren},
journal= {arXiv preprint arXiv:1401.4288},
year = {2014}
}