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On the dimension of product measures

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

H. Haase
H. Haase
Affiliation:
Sektion Mathematik der E.-M.-Arndt-Universität, F.-L.-Jahn-Str. 15a, Greifswald, DDR-2200.
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In recent papers on fractals attention has shifted from sets to measures [1, 5, 10]. Thus it seems interesting to know whether results for the dimension of sets remain valid for the dimension of measures. In the present paper we derive estimates for the dimension of product measures. Falconer [3] summarizes known results for sets and Tricot [8] gives a complete description in terms of Hausdorff and packing dimension. Let dim and Dim denote Hausdorff and packing dimension. If then

MSC classification

Secondary: 28A35: Measures and integrals in product spaces
Type
Research Article
Information
Mathematika , Volume 37 , Issue 2 , December 1990 , pp. 316 - 323
Copyright
Copyright © University College London 1990

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