Uniform Rectifiability from Mean Curvature Bounds
نویسندگان
چکیده
منابع مشابه
Uniform measures and uniform rectifiability
In this paper it is shown that if μ is an n-dimensional Ahlfors-David regular measure in R which satisfies the so-called weak constant density condition, then μ is uniformly rectifiable. This had already been proved by David and Semmes in the cases n = 1, 2 and d − 1, and it was an open problem for other values of n. The proof of this result relies on the study of the n-uniform measures in R. I...
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ژورنال
عنوان ژورنال: Zeitschrift für Analysis und ihre Anwendungen
سال: 2008
ISSN: 0232-2064
DOI: 10.4171/zaa/1364