Packing dimension of mean porous measures
We prove that the packing dimension of any mean porous Radon measure on $\mathbb R^d$ may be estimated from above by a function which depends on mean porosity. The upper bound tends to $d-1$ as mean porosity tends to its maximum value. This result was stated in \cite{BS}, and in a weaker form in \ci...
Main Authors: | Beliaev, D, Järvenpää, E, Järvenpää, M, Käenmäki, A, Rajala, T, Smirnov, S, Suomala, V |
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Format: | Journal article |
Language: | English |
Published: |
2007
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