Systems of Dyadic Cubes of Complete, Doubling, Uniformly Perfect Metric Spaces without Detours
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2021
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917381001969664 |
|---|---|
| author | Sasaya, Kôhei |
| author_facet | Sasaya, Kôhei |
| contents | Systems of dyadic cubes are the basic tools of harmonic analysis and geometry, and this notion had been extended to general metric spaces. In this paper, we construct systems of dyadic cubes of complete, doubling, uniformly perfect metric spaces, such that for any two points in the metric space, there exists a chain of three cubes whose diameters are comparable to the distance of the points. We also give an application of our construction to previous research of potential analysis and geometry of metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_11696 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Systems of Dyadic Cubes of Complete, Doubling, Uniformly Perfect Metric Spaces without Detours Sasaya, Kôhei Metric Geometry Primary: 30L99, Secondary: 30L10, Systems of dyadic cubes are the basic tools of harmonic analysis and geometry, and this notion had been extended to general metric spaces. In this paper, we construct systems of dyadic cubes of complete, doubling, uniformly perfect metric spaces, such that for any two points in the metric space, there exists a chain of three cubes whose diameters are comparable to the distance of the points. We also give an application of our construction to previous research of potential analysis and geometry of metric spaces. |
| title | Systems of Dyadic Cubes of Complete, Doubling, Uniformly Perfect Metric Spaces without Detours |
| topic | Metric Geometry Primary: 30L99, Secondary: 30L10, |
| url | https://arxiv.org/abs/2110.11696 |