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most citedFalconer conjecture in the plane for random metrics

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math.CA2003★ 2 cited

Falconer conjecture in the plane for random metrics

S. Hofmann, A. Iosevich

We prove the following variant of the Falconer conjecture in the plane. If the dimension of a compact planar set is greater than one, then the distance set with respect to almost e…

math.CA2001

Carleson measures, trees, extrapolation, and theorems

Pascal Auscher, Steve Hofmann, Camil Muscalu +2

The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysi…