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math.CA2011★ 10 cited
On angles determined by fractal subsets of the Euclidean space via Sobolev bounds for bi-linear operators
Alex Iosevich, Mihalis Mourgoglou, Eyvindur Palsson
We prove that if the Hausdorff dimension of a compact subset of is greater than , then the set of angles determined by triples of points from this se…
math.CA2011
L^p estimates for a singular integral operator motivated by Calderón's second commutator
Eyvindur Palsson
We prove a wide range of L^p estimates for a trilinear singular integral operator motivated by dropping one average in Calderón's second commutator. For comparison by dropping two…