Boundedness of the square function and rectifiability
classification
🧮 math.CA
math.FA
keywords
functionsquareassociatedboundednessfinitenessfollowinghausdorffimplies
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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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