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A NOTE ON MULTIFRACTAL PACKING DIMENSION OF MEASURES

A NOTE ON MULTIFRACTAL PACKING DIMENSION OF MEASURES
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摘要 The relations between the multifractal packing dimension of Borel probability measures and the asymptotic behavior of the function Ф＊（x）=limsup logv（B（x,r））-qlogu（B（x,r））/logr are discussed and some applications are given. The relations between the multifractal packing dimension of Borel probability measures and the asymptotic behavior of the function Ф＊（x）=limsup logv（B（x,r））-qlogu（B（x,r））/logr are discussed and some applications are given.
作者 Jinjun Li
机构地区 Zhangzhou Normal University
出处 《Analysis in Theory and Applications》 2009年第2期147-153,共7页 分析理论与应用（英文刊）
基金 Supported by the Education Committee of Fujian Province(JA08155)
关键词 multifractal packing dimension of measures essential bound multifractal packing dimension of measures, essential bound
分类号 TS206 [轻工技术与工程—食品科学]
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参考文献6

  • 1Batakis, A,Testud, B.Multifractal Analysis of Inhomogeneous Bernoulli Products[]..
  • 2Dai,M. F.Multifractal Analysis of a Measure of Multifractal Exact Dimension[].Nonlinear Analysis.2008
  • 3Falconer,K. J.Techniques in Fractal Geometry[]..1997
  • 4Heurteaux,Y.Dimension of Measures: the Probabilistic Approach[].PublMat.2007
  • 5Mattila P.Geometry of Sets and Measures in Euclidean Space[]..1995
  • 6Olsen,L.A multifractal formalism[].Advances in Mathematics.1995
Analysis in Theory and Applications
2009年 第2期

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