Doubling measures, monotonicity, and quasiconformality
نویسندگان
چکیده
منابع مشابه
Doubling Measures, Monotonicity, and Quasiconformality
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic...
متن کاملar X iv : m at h / 06 11 11 0 v 1 [ m at h . C A ] 4 N ov 2 00 6 DOUBLING MEASURES , MONOTONICITY , AND QUASICONFORMALITY
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel against doubling measures with suitable decay. The differentials of mappings that arise in this way satisfy an isotropic form of the doubling condition. We prove that this isotropic doubling condition is satisfied by the distance functions of certain fractal sets. Finally, we construct an isotropic...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2007
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-007-0132-5