We obtain a sharp L-2(R-n) bound for the maximal directional Hilbert transform over an arbitrary set of directions. (C) 2007 Elsevier Inc. All rights reserved.
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Univ Cambridge, Stat Lab, Dept Pure Math & Math Stat, Cambridge CB3 0WB, EnglandUniv Cambridge, Stat Lab, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England
Bull, Adam D.
Nickl, Richard
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Univ Cambridge, Stat Lab, Dept Pure Math & Math Stat, Cambridge CB3 0WB, EnglandUniv Cambridge, Stat Lab, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England