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Regularities of Fractal Measures on R^{2}

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Abstract

We get a characterization of strong regularity with d-measure on.

참고문헌 (13)

  1. "Regularity of d-measure", 99(1-2), pp.25~32 (2003)
  2. A. S. Besicovitch, "On the fundamental geometrical properties of linearly measurableplane sets of points II", 155, pp.296~329 (1938)
  3. "The Geometry of Fractal sets" (1990), John Wiley & Sons Ltd
  4. "Geometric Measure Theory" (1969)
  5. "On d-measure and d-dimension", 17, pp.590~596 (1991)
  6. "The comparison of d-measure with packing and Hausdorffmeasure", 32, pp.523~531 (1992)
  7. "Geometry of sets and measures in Euclidean spaces" (1995), Cambridge UniversityPress
  8. "Measure and dimension functions : measurablility anddensities", 121, pp.81~100 (1997)
  9. "-rectifiable subsets of the plane", pp.236~305 (1944)
  10. "Geometry of measures in Rn", pp.537~643 (1987)
  11. X. S. Raymond, "Packing regularity of sets in n-space", 103, pp.133~145 (1988)
  12. "The packing measure of rectifiable subsets of the plane", 99, pp.285~296 (1986)
  13. "Packing measure and its evaluation for a brownian path", pp.679~699 (1985)

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