Boundedness of the square function and rectifiability
arXiv:0906.2664 · doi:10.1016/j.crma.2009.07.007
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 ( is interger) on a set implies that is rectifiable.