Moser inequalities in Gauss space
Functional Analysis
2020-10-09 v2
Abstract
The sharp constants in a family of exponential Sobolev type inequalities in Gauss space are exhibited. They constitute the Gaussian analogues of the Moser inequality in the borderline case of the Sobolev embedding in the Euclidean space. Interestingly, the Gaussian results have features in common with the Euclidean ones, but also reveal marked diversities.
Cite
@article{arxiv.1907.12038,
title = {Moser inequalities in Gauss space},
author = {Andrea Cianchi and Vít Musil and Luboš Pick},
journal= {arXiv preprint arXiv:1907.12038},
year = {2020}
}
Comments
Accepted in Mathematische Annalen