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Tangent measures of non-doubling measures

Published online by Cambridge University Press:  13 December 2011

TUOMAS ORPONEN  and
TUOMAS SAHLSTEN
TUOMAS ORPONEN
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, P.O.B. 68, 00014 Helsinki, Finland. e-mail: tuomas.orponen@helsinki.fi, tuomas.sahlsten@helsinki.fi
TUOMAS SAHLSTEN
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, P.O.B. 68, 00014 Helsinki, Finland. e-mail: tuomas.orponen@helsinki.fi, tuomas.sahlsten@helsinki.fi
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Abstract

We construct a non-doubling measure on the real line, all tangent measures of which are equivalent to Lebesgue measure.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 3 , May 2012 , pp. 555 - 569
Copyright
Copyright © Cambridge Philosophical Society 2011

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References

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