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Date(投稿日時):Subject(見出し):From(投稿者):
27662009/05/07Re: ν_*をLebesgue外測度とすると{E;for∀A⊂X,ν_*(A)=ν_*(E∩A)+ν_*(E∩A^c)}は開集合ら含む最小のσ集合体?chiaki@kit.ac.jp (Tsukamoto Chiaki)
27652009/05/07Re: 有限測度空間でf,f_n:X→[-∞,∞],n=1,2,…,可測の時,f_n→f a.e.で |f_n|≦1なら∫f_n→∫fで反例f_n(x)=sinxは使えない?chiaki@kit.ac.jp (Tsukamoto Chiaki)
27642009/05/07Re: m^*_αはHausdorff外測度とする。∀r>0に対して,m^*_α(rE)=r^αm^*_α(E)?chiaki@kit.ac.jp (Tsukamoto Chiaki)
27632009/05/07Re: Hausdorff次元dimF=αならFはm_α-可測? fがm_α可測なら∫_F f(x)dm_α<∞?chiaki@kit.ac.jp (Tsukamoto Chiaki)
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