Uniform measures and uniform rectifiability
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: Journal of the London Mathematical Society
سال: 2015
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms/jdv013