Average densities and linear rectifiability of measures

Mathematika

Volumn 44, Issue 2, 1997, Pages 313-324

  Morters P ^a  

^a Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039793425     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/s0025579300012626     Document Type: Article

References (13)

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3. K. J. Falconer and O. B. Springer. Order-two density of sets and measures with non-integral dimension. Mathematika, 42 (1995), 1-14.
4. S. Graf. On Bandt's tangential distribution for self-similar measures. Mh. Math., 120 (1995), 223-246.
5. B. Kirchheim. Uniformly distributed measures, tangent measures and analytic varieties. In Proc. Conf. Topology and Measure V, Wissenschaftliche Beiträge der Ernst-Moritz-Arndt-Universität Greifswald (1988), 54-60.
6. J. M. Marstrand. The (φ, s)-regular subsets of n-space. Trans. Amer. Math. Soc., 113 (1964), 369-392.
7. J. M. Marstrand. Order-two density and the strong law of large numbers. Mathematika, 43 (1996), 1-22.
8. P. Mattila. The Geometry of Sets and Measures in Euclidean Spaces (Cambridge University Press, Cambridge, 1995).
9. P. Mörters. Tangent Measure Distributions and the Geometry of Measures. PhD thesis (University College London, 1995).
10. P. Mörters. Symmetry properties of average densities and tangent measure distributions of measures on the line. To appear in Adv. Appl. Math., 1997.
11. P. Mörters and D. Preiss. Tangent measure distributions of fractal measures. Preprint, 1997 (Universität Kaiserslautern).
12. T. C. O'Neil. A Local Version of the Projection Theorem and Other Results in Geometric Measure Theory. PhD thesis (University College London, 1995).
13. n: Distribution, rectifiability and densities. Ann. Math., 125 (1987), 537-643.