Boundedness of the square function and rectifiability
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Open Access
- 5 August 2009
- journal article
- Published by MathDoc/Centre Mersenne in Comptes Rendus Mathematique
- Vol. 347 (17-18) , 1051-1056
Abstract
Following a recent paper [X. Tolsa, Principal values for Riesz transforms and rectifiability, J. Funct. Anal. 254 (7) (2008) 1811–1863] we show that the finiteness of the square function associated with the Riesz transforms with respect to Hausdorff measure (n is an integer) on a set E, implies that E is rectifiable.
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