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math.AP2010
Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups
Vasilis Chousionis, Pertti Mattila
In this paper we study singular integrals on small (that is, measure zero and lower than full dimensional) subsets of metric groups. The main examples of the groups we have in mind…
math.AP2009
Singular integrals on Ahlfors-David regular subsets of the Heisenberg group
Vasilis Chousionis, Pertti Mattila
We investigate certain singular integral operators with Riesz-type kernels on s-dimensional Ahlfors-David regular subsets of Heisenberg groups. We show that -boundedness, and…