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Boundedness of the square function and rectifiability

Svitlana Mayboroda, Alexander Volberg

Published 2009-06-15Version 1

Following a recent paper by X. Tolsa [JFA, 2008] we show that the finiteness of square function associated with the Riesz transforms with respect to Hausdorff measure $H^n$ ($n$ is interger) on a set $E$ implies that $E$ is rectifiable.

Journal: Comptes rendus - Mathematique 347 (2009), pp. 1051-1056
Categories: math.CA, math.FA
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