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arxiv: 1302.5295 · v1 · pith:A6OH5NGRnew · submitted 2013-02-21 · 🧮 math.CA · math.AP

Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

classification 🧮 math.CA math.AP
keywords aikawadimensionhardyinequalitiesspacestriebel-lizorkinboundarydomain
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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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