Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

Lizaveta Ihnatsyeva, Antti V. Vähäkangas

Published 2013-02-21Version 1

We prove inequalities of Hardy type for functions in Triebel-Lizorkin spaces $F^s_{pq}(G)$ on a domain $G\subset\mathbb{R}^n$, whose boundary has the Aikawa dimension strictly less than $n-sp$.