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On simultaneous local dimension functions of subsets of Rd
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dc.contributor.author | Olsen, Lars Ole Ronnow | |
dc.date.accessioned | 2015-11-13T09:10:03Z | |
dc.date.available | 2015-11-13T09:10:03Z | |
dc.date.issued | 2015-09-30 | |
dc.identifier | 228697611 | |
dc.identifier | 74b719a1-f995-4464-a8f0-cd7e56521c38 | |
dc.identifier | 000363840500007 | |
dc.identifier | 84942936518 | |
dc.identifier.citation | Olsen , L O R 2015 , ' On simultaneous local dimension functions of subsets of R d ' , Bulletin of the Korean Mathematical Society , vol. 52 , no. 5 , pp. 1489-1493 . https://doi.org/10.4134/BKMS.2015.52.5.1489 | en |
dc.identifier.issn | 1015-8634 | |
dc.identifier.other | ORCID: /0000-0002-8353-044X/work/60630703 | |
dc.identifier.uri | https://hdl.handle.net/10023/7778 | |
dc.description | Date of Acceptance: 04/05/2015 | en |
dc.description.abstract | For a subset E ⊑ Rd and x ∈ Rd, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by (Formula presented.) where dimH and dimP denote the Hausdorff dimension and the packing dimension, respectively. In this note we give a short and simple proof showing that for any pair of continuous functions f,g: Rd → [0, d] with f ≤ g, it is possible to choose a set E that simultaneously has f as its local Hausdorff dimension function and g as its local packing dimension function. | |
dc.format.extent | 5 | |
dc.format.extent | 100058 | |
dc.language.iso | eng | |
dc.relation.ispartof | Bulletin of the Korean Mathematical Society | en |
dc.subject | Hausdorff dimension | en |
dc.subject | Packing dimension | en |
dc.subject | Local Hausdorff dimension | en |
dc.subject | Local packing dimension | en |
dc.subject | BC Logic | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | BC | en |
dc.subject.lcc | QA | en |
dc.title | On simultaneous local dimension functions of subsets of Rd | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.4134/BKMS.2015.52.5.1489 | |
dc.description.status | Peer reviewed | en |
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