Hardy inequalities in Triebel-Lizorkin spaces

Published 26 Sep 2012 in math.CA | (1209.5840v1)

Abstract: 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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