Metric Diophantine approximation and ‘absolutely friendly’ measures
نویسندگان
چکیده
منابع مشابه
Metric Diophantine approximation and ‘ absolutely friendly ’ measures
Let W (ψ) denote the set of ψ-well approximable points in Rd and let K be a compact subset of Rd which supports a measure μ. In this short note, we show that if μ is an ‘absolutely friendly’ measure and a certain μ–volume sum converges then μ(W (ψ) ∩K) = 0. The result obtained is in some sense analogous to the convergence part of Khintchines classical theorem in the theory of metric Diophantine...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2005
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-005-0007-8