Hardy inequalities for fractional integrals on general domains
Analysis of PDEs
2010-02-22 v2 Functional Analysis
Abstract
We prove a sharp Hardy inequality for fractional integrals for functions that are supported on a general domain. The constant is the same as the one for the half-space and hence our result settles a recent conjecture of Bogdan and Dyda.
Keywords
Cite
@article{arxiv.0907.3054,
title = {Hardy inequalities for fractional integrals on general domains},
author = {Michael Loss and Craig Sloane},
journal= {arXiv preprint arXiv:0907.3054},
year = {2010}
}
Comments
LaTeX, 9 pages, a number of errors have been fixed and the bibliography has been updated