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Order-two density of sets and measures with non-integral dimension

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

K. J. Falconer  and
O. B. Springer
K. J. Falconer
Affiliation:
The Mathematical Institute, The University of St. Andrews, North Haugh, St. Andrews, Fife, KYI6 9SS, Scotland.
O. B. Springer
Affiliation:
Credit Suiss Financial Products, 1 Cabot Square, London, E14 4QJ.
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Extract

This paper is concerned with the geometry of a measure μ, and in particular with the relationship between various .s-dimensional densities of μ, the geometry of the support of μ and the question of whether s is an integer.

MSC classification

Secondary: 28A75: Length, area, volume, other geometric measure theory
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 1 - 14
Copyright
Copyright © University College London 1995

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