Boundedness of the square function and rectifiability
Preprint
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.
Keywords
All Related Versions
- Version 1, 2009-06-15, ArXiv
- Published version: Comptes Rendus Mathématique, 347 (17-18), 1051.
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