Characterization of Fractal functions in H(o)lder Spaces

来源 :Harmonic Analysis and Applications(2014调和分析及其应用学术会议) | 被引量 : 0次 | 上传用户:aylwq
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The characterization of fractal functions defined on local fields in H(o)lder spaces Cσ(Kp)(σ > 0)are studied in this note,and the equivalent theorem(Jackson theorem and Bernstein theorem)is shown:for s ≥ 0,we have f(s∈Lip(Cσ(Kp),α),α>0(→)Epn(Cσ(Kp),f)=O(p-n(α+s)),n→+∞.Then the necessary preparation for the study of fractal PDE are given.
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