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| Página principal > Artículos > Artículos publicados > Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric |
| Fecha: | 2003 |
| Resumen: | 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. |
| Derechos: | Tots els drets reservats.  |
| Lengua: | Anglès |
| Documento: | Article ; recerca ; Versió publicada |
| Materia: | Hausdorff measures ; Hausdorff dimension ; Heisenberg metric |
| Publicado en: | Publicacions matemàtiques, V. 47 N. 1 (2003) , p. 237-259, ISSN 2014-4350 |
