Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group
作者： Zoltán M. Balogh
DOI: 10.1007/BF02790265
关键词: Hausdorff measure 、 Pure mathematics 、 Hausdorff distance 、 Packing dimension 、 Mathematical analysis 、 Dimension function 、 Mathematics 、 Effective dimension 、 Urysohn and completely Hausdorff spaces 、 Hausdorff dimension 、 Minkowski–Bouligand dimension
摘要: We construct quasiconformal mappings on the Heisenberg group which change Hausdorff dimension of Cantor-type sets in an arbitrary fashion. On other hand, we give examples subsets whose cannot be lowered by any mapping. For a general set certain obtain estimates image terms magnitude distortion.
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