Showing 2012Show all
2 papers · 1 filter
math.CA2012
On the Local Theorem under Minimal Integrability
Michael T Lacey, Antti V Vähäkangas
We prove a version of the local Tb Theorem assuming that the accretive functions b_Q and T b_Q are locally L ^{p} integrable, for any 1< p < \infty . This improves a recent result…
math.FA2012
Fractional Hardy-type inequalities in domains with plump complement
David E. Edmunds, Ritva Hurri-Syrjänen, Antti V. Vähäkangas
We establish fractional Hardy-type inequalities in a bounded domain with plump complement. In particular our results apply in bounded C^\infty domains and Lipschitz domains.