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arxiv: 1209.5840 · v1 · pith:OOYS2INQnew · submitted 2012-09-26 · 🧮 math.CA

Hardy inequalities in Triebel-Lizorkin spaces

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keywords hardyinequalityspacestriebel-lizorkinahlforsapplicationboundednessconsider
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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.

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