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Packing dimension, intersection measures, and isometries

Published online by Cambridge University Press:  01 November 1997

MAARIT JÄRVENPÄÄ
MAARIT JÄRVENPÄÄ
Affiliation:
Department of Mathematics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland ; e-mail: [email protected]
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Abstract

Let μ and ν be Radon probability measures on ℝ with compact supports. We will consider natural intersections of μ and the image of ν under an isometry f[ratio ]ℝn→ℝn. Our main result gives a lower bound for the packing dimensions of these intersection measures, if μ and ν satisfy some regularity assumptions. Our method, which is originally from [1], is the same as used in [3] where similarities were considered instead of isometries.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 3 , November 1997 , pp. 483 - 490
Copyright
Cambridge Philosophical Society 1997

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