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arXiv · 0906.2664

Boundedness of the square function and rectifiability

Svitlana Mayboroda·Alexander Volberg
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Abstract

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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Svitlana Mayboroda, Alexander Volberg. 2009-06-15. Boundedness of the square function and rectifiability. https://doi.org/10.1016/j.crma.2009.07.007

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