Fractional Hardy-Sobolev type inequalities for half spaces and John domains
Classical Analysis and ODEs
2017-09-12 v1 Analysis of PDEs
Abstract
As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina and Nazarov. In the proof we apply a new version of the fractional Hardy-Sobolev inequality that we establish also for more general unbounded John domains than half spaces.
Keywords
Cite
@article{arxiv.1709.03296,
title = {Fractional Hardy-Sobolev type inequalities for half spaces and John domains},
author = {Bartłomiej Dyda and Juha Lehrbäck and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1709.03296},
year = {2017}
}