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On the Hausdorff dimension and capacities of intersections

Published online by Cambridge University Press:  26 February 2010

Pertti Mattila
Pertti Mattila
Affiliation:
Department of Mathematics, University of Helsinki, Helsinki, Finland
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Extract

Let A and B be Borel (or more generally Suslin) sets in ℝn whose Hausdorff dimensions satisfy

Type
Research Article
Information
Mathematika , Volume 32 , Issue 2 , December 1985 , pp. 213 - 217
Copyright
Copyright © University College London 1985

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References

1.Carleson, L.. Selected Problems on Exceptional Sets (Van Nostrand, 1967).Google Scholar
2.Falconer, K. J.. Geometry of Fractal Sets (Cambridge University Press, 1984).Google Scholar
3.Falconer, K. J.. On the Hausdorff dimension of distance sets. Mathematika, 32 (1985), 206–212.CrossRefGoogle Scholar
4.Falconer, K. J.Classes of sets with large intersection. Mathematika, 32 (1985), 191–205.CrossRefGoogle Scholar
5.Kahane, J.-P.. Sur la dimension des intersections, En hommage à Leopoldo Nachbin. In Aspects of Mathematics and its Applications (North-Holland Mathematical Library). To appear.Google Scholar
6.Manila, P.. Hausdorff dimension and capacities of intersections of sets in n-space. Acta Math., 152 (1984), 77–105.Google Scholar
7.JrTricot, C.. Two definitions of fractional dimension. Math. Proc. Camb. Phil. Soc, 91 (1982), 57–74.CrossRefGoogle Scholar
8.Watson, G. N.. Theory of Bessel Functions (Cambridge University Press, 1944).Google Scholar