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| Home > Articles > Published articles > Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric |
| Home > Articles > Published articles > Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric |
| Date: | 2003 |
| Abstract: | 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Hausdorff measures ; Hausdorff dimension ; Heisenberg metric |
| Published in: | Publicacions matemàtiques, V. 47 N. 1 (2003) , p. 237-259, ISSN 2014-4350 |
