The least doubling constant of a metric measure space
We study the least doubling constant C(X,d), among all doubling measures µ supported on a metric space (X, d). In particular, we prove that for every metric space with more than one point, C(X,d) ≥ 2. We also describe some further properties of C(X,d) and compute its value for several important exam...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/91479 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/91479 |
| Access Level: | acceso abierto |
| Palabra clave: | Metric spaces Doubling measures Topología 12 Matemáticas |
| Sumario: | We study the least doubling constant C(X,d), among all doubling measures µ supported on a metric space (X, d). In particular, we prove that for every metric space with more than one point, C(X,d) ≥ 2. We also describe some further properties of C(X,d) and compute its value for several important examples. |
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