Hausdorff dimension for piecewise monotonic maps
نویسندگان
چکیده
منابع مشابه
David Maps and Hausdorff Dimension
David maps are generalizations of classical planar quasiconformal maps for which the dilatation is allowed to tend to infinity in a controlled fashion. In this note we examine how these maps distort Hausdorff dimension. We show: – Given α and β in [0, 2] , there exists a David map φ: C → C and a compact set Λ such that dimH Λ = α and dimH φ(Λ) = β . – There exists a David map φ: C → C such that...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1989
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-94-1-17-33