Boundedness of the square function and rectifiability

Details Boundedness of the square function and rectifiability Boundedness of the square function and rectifiability

2009-06-15

arxiv.org/abs/0906.2664v1

Comptes rendus - Mathematique 347 (2009), pp. 1051-1056

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1016/j.crma.2009.07.007

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.

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