Journal article icon

Journal article

On dimension of porous measures

Abstract:
We introduce a notion of mean porosity for measures and obtain dimensional bounds for mean-porous and porous measures. As a corollary we generalize to all porous Borel measures the estimate obtained recently by J.-P. Eckmann, E. Järvenpää, and M. Järvenpää for porous measures satisfying the doubling condition. We also discuss various generalizations of this notion and possible applications.
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1007/s002080100299

Authors


Journal:
MATHEMATISCHE ANNALEN
Volume:
323
Issue:
1
Pages:
123-141
Publication date:
2002-05-01
DOI:
EISSN:
1432-1807
ISSN:
0025-5831
Source identifiers:
190368
Language:
English
Pubs id:
pubs:190368
UUID:
uuid:12fa53a6-eddc-4982-a2d3-08123e78e7fd
Local pid:
pubs:190368
Deposit date:
2012-12-19

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP