16 citations · 34 across the 19 of their papers we have counts for
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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…
math.FA2011★ 12 cited
On fractional Poincaré inequalities
Ritva Hurri-Syrjänen, Antti V. Vähäkangas
We show that fractional (p,p)-Poincaré inequalities and even fractional Sobolev-Poincaré inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. W…
math.FA2010
A T1 theorem for weakly singular integral operators
Antti V. Vähäkangas
We establish conditions in the spirit of the T1 theorem of David and Journé which guarantee the boundedness of \nabla T on L^p(\R^n), where T is an integral transformation and 1<p<…