Mackay, John M.; Tyson, Jeremy T.; Wildrick, Kevin Michael (2013). Modulus and Poincaré Inequalities on Non-Self-Similar Sierpiński Carpets. Geometric and functional analysis, 23(3), pp. 985-1034. Birkhäuser 10.1007/s00039-013-0227-6
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__ubnetapp02_user$_brinksma_Downloads_modulus poincare.pdf - Published Version Available under License Publisher holds Copyright. Download (894kB) | Preview |
A carpet is a metric space homeomorphic to the Sierpiński carpet. We characterize, within a certain class of examples, non-self-similar carpets supporting curve families of nontrivial modulus and supporting Poincaré inequalities. Our results yield new examples of compact doubling metric measure spaces supporting Poincaré inequalities: these examples have no manifold points, yet embed isometrically as subsets of Euclidean space.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Tyson, Jeremy, Wildrick, Kevin Michael |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1016-443X |
Publisher: |
Birkhäuser |
Language: |
English |
Submitter: |
Mario Amrein |
Date Deposited: |
05 Jun 2014 14:52 |
Last Modified: |
05 Dec 2022 14:28 |
Publisher DOI: |
10.1007/s00039-013-0227-6 |
BORIS DOI: |
10.7892/boris.41984 |
URI: |
https://boris.unibe.ch/id/eprint/41984 |
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