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

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APA Style

Beliaev, D., & Smirnov, S. (2002). On dimension of porous measures. MATHEMATISCHE ANNALEN, 323(1), 123–141.

MLA Style

Beliaev, D, and S Smirnov. “On Dimension of Porous Measures.” MATHEMATISCHE ANNALEN, vol. 323, no. 1, 2002, pp. 123–41.

Chicago Style

Beliaev, D, and S Smirnov. 2002. “On Dimension of Porous Measures.” MATHEMATISCHE ANNALEN 323 (1): 123–41.
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Publisher copy:: 10.1007/s002080100299

Authors

+ Beliaev, D More by this author

Role:: Author

+ Smirnov, S More by this author

Role:: Author

Journal:: MATHEMATISCHE ANNALEN More from this journal
Volume:: 323
Issue:: 1
Pages:: 123-141
Publication date:: 2002-05-01
DOI:: 10.1007/s002080100299
EISSN:: 1432-1807
ISSN:: 0025-5831

Language:: English
Pubs id:: pubs:190368
UUID:: uuid:12fa53a6-eddc-4982-a2d3-08123e78e7fd
Local pid:: pubs:190368
Source identifiers:: 190368
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_12fa53a6eddc4982a2d308123e78e7fd

Terms of use

Copyright date:: 2002

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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