Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectif...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:2005 |
| Acceso en línea: | https://ddd.uab.cat/record/2005 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_47103_11 |
| Access Level: | acceso abierto |
| Palabra clave: | Hausdorff measures Hausdorff dimension Heisenberg metric |
| Sumario: | We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectifiability is given. |
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