Hardy inequalities in Triebel-Lizorkin spaces

Lizaveta Ihnatsyeva, Antti V. Vähäkangas

Published 2012-09-26Version 1

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.