16 citations · 34 across the 19 of their papers we have counts for
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math.CA2012
Hardy inequalities in Triebel-Lizorkin spaces
Lizaveta Ihnatsyeva, Antti V. Vähäkangas
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…
math.FA2012★ 4 cited
The local non-homogeneous Tb theorem for vector-valued functions
Tuomas P. Hytönen, Antti V. Vähäkangas
We extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. H…