Results 11 to 16 of about 16 (16)
Hausdorff measure of the singular set of quasiregular maps on Carnot groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 35, Page 2203-2220, 2003., 2003 Recently, the theory of quasiregular mappings on Carnot groups has been developed intensively. Let ν stand for the homogeneous dimension of a Carnot group and let m be the index of the last vector space of the corresponding Lie algebra. We prove that the (ν − m − 1)‐dimensional Hausdorff measure of the image of the branch set of a quasiregular mapping ...
Irina Markina
wiley +1 more source
The Apollonian metric: limits of the comparison and bilipschitz properties
Abstract and Applied Analysis, Volume 2003, Issue 20, Page 1141-1158, 2003., 2003 The Apollonian metric is a generalization of the hyperbolic metric. It is defined in arbitrary domains in ℝn. In this paper, we derive optimal comparison results between this metric and the jG metric in a large class of domains. These results allow us to prove that Euclidean bilipschitz mappings have small Apollonian bilipschitz constants in a domain G
Peter A. Hästö
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Ar (λ)‐weighted Caccioppoli‐type and Poincaré‐type inequalities for A‐harmonic tensors
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 2, Page 115-122, 2002., 2002 We prove a local version of weighted Caccioppoli‐type inequality, then we prove a version of weighted Poincaré‐type inequality for A‐harmonic tensors both locally and globally. Ar(λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors (erratum)dx.doi.org/10.1155 ...
Bing Liu
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Generalized dimension compression under mappings of exponentially integrable distortion
Open Mathematics, 2011 Zapadinskaya Aleksandra
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Composition operators on W 1 X are necessarily induced by quasiconformal mappings
Open Mathematics, 2014 Kleprlík Luděk
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