Journal of applied mathematics & informatics

  • 제7권2호
  • /
  • Pages.673-683
  • /
  • 2000
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

THE CENTERED-NET MEASURES AND THEIR REGULAR SETS

  • T. H (Mathematics Department, Kyungpook National University) ;
  • S. P (Mathematics Dept, Kyungpook National University) ;
  • H. H (Mathematics Dept, Pohang Univ of Science Technology)
  • 발행 : 2000.05.01

⟨ 이전 논문 다음 논문 ⟩

초록

We define the centered-net covering and the centered-net parking measure and then show that the regular sets induced by the two centered measures are equal for $C{\frac}{\delta}{R}$ almost everywhere.

키워드

참고문헌

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  4. Kyungpook Math. J. v.37 The Nets and Packing Dimension Tae Hee Kim;Hung Hwan Lee
  5. Geometry of sets and Measures in Euclidean Spaces P. Mattila
  6. Trans. Amer. Math. soc. v.113 The (ø,s)-regular subsets of n-space J. M. Marstrand
  7. Annals of Mathematics v.125 Geometry of measures in $R^n$: distribution, rectifiability and densities D. Preiss
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  10. Math. Proc. Cam. Phil. Soc. v.99 The packing measure of rectifiable of subsets of the plane S. J. Taylor;C. Tricot
  11. Math. Proc. Cam. Phil. Soc. v.91 Two definitions of fractional dimension C. Tricot