Journal article
Packing dimension of mean porous measures
- Abstract:
-
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 \cite{JJ1}, but the proofs are not correct. Quite surprisingly, it turns out that mean porous measures are not necessarily approximable by mean porous sets. We verify this by constructing an example o...
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- Publication status:
- Published
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- Publisher copy:
- 10.1112/jlms/jdp040
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Bibliographic Details
- Journal:
- JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
- Volume:
- 80
- Issue:
- 2
- Pages:
- 514-530
- Publication date:
- 2007-05-16
- DOI:
- EISSN:
-
1469-7750
- ISSN:
-
0024-6107
- Source identifiers:
-
190359
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:190359
- UUID:
-
uuid:a0b14aee-2ade-498d-a7ac-3643616c2cdd
- Local pid:
- pubs:190359
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2007
- Notes:
- Revised version
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