Hardy inequalities in Triebel-Lizorkin spaces
Classical Analysis and ODEs
2012-09-27 v1
Abstract
We prove an inequality of Hardy type for functions in Triebel-Lizorkin spaces. The distance involved is being measured to a given Ahlfors d-regular set in R^n, with n-1<d<n. As an application of the Hardy inequality, we consider boundedness of pointwise multiplication operators, and extension problems.
Keywords
Cite
@article{arxiv.1209.5840,
title = {Hardy inequalities in Triebel-Lizorkin spaces},
author = {Lizaveta Ihnatsyeva and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1209.5840},
year = {2012}
}