Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

preprint2013arXivOpen access

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 $n-sp$ .

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Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

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