Uniform rectifiability from Carleson measure estimates and ε-approximability of bounded harmonic functions
نویسندگان
چکیده
منابع مشابه
Uniform Rectifiability, Carleson Measure Estimates, and Approximation of Harmonic Functions
Let E ⊂ Rn+1, n ≥ 2, be a uniformly rectifiable set of dimension n. Then bounded harmonic functions in Ω := Rn+1 \ E satisfy Carleson measure estimates, and are “ε-approximable”. Our results may be viewed as generalized versions of the classical F. and M. Riesz theorem, since the estimates that we prove are equivalent, in more topologically friendly settings, to quantitative mutual absolute con...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2018
ISSN: 0012-7094
DOI: 10.1215/00127094-2017-0057