A note on Lusin-type approximation of Sobolev functions on Gaussian spaces
Functional Analysis
2020-12-11 v2 Metric Geometry
Probability
Abstract
We establish new approximation results in the sense of Lusin for Sobolev functions with on infinite-dimensional spaces equipped with Gaussian measures. The proof relies on some new pointwise estimate for the approximations based on the corresponding semigroup which can be of independent interest.
Cite
@article{arxiv.1908.10183,
title = {A note on Lusin-type approximation of Sobolev functions on Gaussian spaces},
author = {Alexander Shaposhnikov},
journal= {arXiv preprint arXiv:1908.10183},
year = {2020}
}