| Autor: |
Morais, J., Nolder, C. A. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; Nov2012, Vol. 1493 Issue 1, p703-709, 7p |
| Abstrakt: |
A conformal mapping in a plane domain locally maps circles to circles. More generally, quasiconformal mappings locally map circles to ellipses of bounded distortion. In this paper the authors study the corresponding situation for solutions to Stein-Weiss systems in the nD Euclidean space. We add a more precise meaning by pointing out that a generalized holomorphic function asymptotically maps the unit sphere onto explicitly characterized ellipsoids and vice versa. Ultimately, we illustrate our approach using a typical example. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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