On the global Gaussian Lipschitz space
Classical Analysis and ODEs
2015-04-15 v1
Abstract
A Lipschitz space is defined in the Ornstein-Uhlenbeck setting, by means of a bound for the gradient of the Ornstein-Uhlenbeck Poisson integral. This space is then characterized with a Lipschitz-type continuity condition. These functions turn out to have at most logarithmic growth at infinity. The analogous Lipschitz space containing only bounded functions was introduced by Gatto and Urbina and has been characterized by the authors in \cite{LS}.
Keywords
Cite
@article{arxiv.1504.03554,
title = {On the global Gaussian Lipschitz space},
author = {Liguang Liu and Peter Sjögren},
journal= {arXiv preprint arXiv:1504.03554},
year = {2015}
}