Carleson type estimates for p-harmonic functions and the conformal Martin boundary of John domains in metric measure spaces
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: Michigan Mathematical Journal
سال: 2005
ISSN: 0026-2285
DOI: 10.1307/mmj/1114021091