On dimension of porous measures
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...
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| Format: | Journal article |
| Language: | English |
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2002
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| _version_ | 1797054591090556928 |
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| author | Beliaev, D Smirnov, S |
| author_facet | Beliaev, D Smirnov, S |
| author_sort | Beliaev, D |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T18:59:21Z |
| format | Journal article |
| id | oxford-uuid:12fa53a6-eddc-4982-a2d3-08123e78e7fd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:59:21Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:12fa53a6-eddc-4982-a2d3-08123e78e7fd2022-03-26T10:11:11ZOn dimension of porous measuresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:12fa53a6-eddc-4982-a2d3-08123e78e7fdEnglishSymplectic Elements at Oxford2002Beliaev, DSmirnov, SWe 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. |
| spellingShingle | Beliaev, D Smirnov, S On dimension of porous measures |
| title | On dimension of porous measures |
| title_full | On dimension of porous measures |
| title_fullStr | On dimension of porous measures |
| title_full_unstemmed | On dimension of porous measures |
| title_short | On dimension of porous measures |
| title_sort | on dimension of porous measures |
| work_keys_str_mv | AT beliaevd ondimensionofporousmeasures AT smirnovs ondimensionofporousmeasures |