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Date(投稿日時):Subject(見出し):From(投稿者):
26282009/04/06f(x)=x^k(kは自然数)でm_α(E)=0⇒m_α(f(E))=0 ならdim(E)=dimf(E)を示せkyokoyoshida123@gmail.com
26272009/04/06R^d内でm_αをα次元Hausdorff測度とする。(R^d,B(R^d),m_α)はσ有限でない事を示せkyokoyoshida123@gmail.com
26262009/04/06Canto-Lebesgue関数では指数γ=ln2/ln3でLipschitz条件を満たす事を示せkyokoyoshida123@gmail.com
26252009/04/06Hausdorff測度でのLipschitz条件の命題(i) m_β(f(E))≦M^βm_α(E) if β=α/γ. (ii)　dimf(E)≦1/γdimE.kyokoyoshida123@gmail.com
26242009/04/05Eを開球で覆って定義した外測度とLebesgue外測度とが等しくなる事の証明kyokoyoshida123@gmail.com
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