On the Uniform Rectifiability of Ad Regular Measures with Bounded Riesz Transform Operator: the Case of Codimension
نویسنده
چکیده
We prove that if μ is a d-dimensional Ahlfors-David regular measure in R, then the boundedness of the d-dimensional Riesz transform in L(μ) implies that the non-BAUP David-Semmes cells form a Carleson family. Combined with earlier results of David and Semmes, this yields the uniform rectifiability of μ.
منابع مشابه
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تاریخ انتشار 2012