A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities
Functional Analysis
2019-11-28 v2
Abstract
In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a general smooth gauge function . Starting from this type of inequalities we prove some refined Hardy-type inequalities.
Keywords
Cite
@article{arxiv.1902.02091,
title = {A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities},
author = {Giuseppina di Blasio and Giovanni Pisante and Georgeos Psaradakis},
journal= {arXiv preprint arXiv:1902.02091},
year = {2019}
}