A note on dyadic Hausdorff capacities
نویسندگان
چکیده
منابع مشابه
Cardinal Invariants Associated with Hausdorff Capacities
Let λ(X) denote Lebesgue measure. If X ⊆ [0, 1] and r ∈ (0, 1) then the r-Hausdorff capacity of X is denoted by H(X) and is defined to be the infimum of all ∑ ∞ i=0 λ(Ii) r where {Ii}i∈ω is a cover of X by intervals. The r Hausdorff capacity has the same null sets as the r-Hausdorff measure which is familiar from the theory of fractal dimension. It is shown that, given r < 1, it is possible to ...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2008
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2007.06.005