On geometric and analytic definitions of quasiconformality |
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| Author |
Department of Mathematics and Statistics ,Bar-Ilan University, 52900 Ramat-Gan, Israel
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| Abstract |
The relations between two definitions of quasiconformality
of homeomorphisms are considered.
A new geometric condition ensuring a boundedness of distortions
and therefore quasiconformality is established.
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| Keywords |
relations between two definitions of quasiconformality, quasiconformality of homeomorphisms, new geometric condition
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| DOI |
doi:10.30970/ms.18.1.29-34
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Reference |
1. Menchoff D. E. Sur une généralisation d'un théorème de M. H. Bohr, Mat. sbor. 2 (1937), 339–356.
2. Reshetnyak Yu. G. Spacial Mappings with Bounded Distortion, Amer. Math. Soc., 1989. 3. Väisälä J. Lectures on n-dimensional Quasiconformal Mappings, Berlin, Springer-Verlag, 1971. |
| Pages |
29-34
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| Volume |
18
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| Issue |
1
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| Year |
2002
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |