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Intermediate value property for the Assouad dimension of measures |
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| Author: | Suomala, Ville1 |
| Organizations: |
1University of Oulu, Oulu, Finland |
| Format: | article |
| Version: | published version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2020091569496 |
| Language: | English |
| Published: |
De Gruyter,
2020
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| Publish Date: | 2020-09-15 |
| Description: |
AbstractHare, Mendivil, and Zuberman have recently shown that if \(X \subset \mathbb{R}\) is compact and of non-zero Assouad dimension \(\dim_{A} X\), then for all \(s > \dim_{A} X\), \(X\) supports measures with Assouad dimension \(s\). We generalize this result to arbitrary complete metric spaces. see all
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| Series: |
Analysis and geometry in metric spaces |
| ISSN: | 2299-3274 |
| ISSN-E: | 2299-3274 |
| ISSN-L: | 2299-3274 |
| Volume: | 8 |
| Issue: | 1 |
| Pages: | 106 - 113 |
| DOI: | 10.1515/agms-2020-0106 |
| OADOI: | https://oadoi.org/10.1515/agms-2020-0106 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
The author was partially supported by the Academy of Finland CoE in Analysis and Dynamics research. |
| Copyright information: |
© 2020 Ville Suomala, published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License. |
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https://creativecommons.org/licenses/by/4.0/ |