Balogh, Zoltán; Iseli, Annina (2019). Marstrand type projection theorems for normed spaces. Journal of Fractal Geometry, 6(4), pp. 367-392. EMS Publishing House 10.4171/JFG/81
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Official URL: https://www.ems-ph.org/journals/journal.php?jrn=JF...
We consider Marstrand type projection theorems for closest-point projections in the normed space ℝ². We prove that if a norm on ℝ² is regular enough, then the analogues of the
well-known statements from the Euclidean setting hold, while they fail for norms whose unit balls have corners. We establish our results by verifying Peres and Schlag’s transversality property and thereby also obtain a Besicovitch-Federer type characterization of purely unrectifiable sets
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Balogh, Zoltan, Iseli, Annina |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
2308-1317 |
Publisher: |
EMS Publishing House |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
10 May 2019 12:04 |
Last Modified: |
05 Dec 2022 15:25 |
Publisher DOI: |
10.4171/JFG/81 |
ArXiv ID: |
1802.10563v1 |
BORIS DOI: |
10.7892/boris.125488 |
URI: |
https://boris.unibe.ch/id/eprint/125488 |
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