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2015, vol. 19, br. 1, str. 81-85
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On the theorem of wan for K-quasiconformal hyperbolic harmonic self mappings of the unit disk
(naslov ne postoji na srpskom)
Ključne reči: hyperbolic metric; harmonic mappings; quasiconformal mappings
Sažetak
(ne postoji na srpskom)
We give a new glance to the theorem of Wan (Theorem 1.1) which is related to the hyperbolic bi-Lipschicity of the K-quasiconformal, K ≥ 1, hyperbolic harmonic mappings of the unit disk D onto itself. Especially, if f is such a mapping and f(0) = 0, we obtained that the following double inequality is valid 2│z│=(K + 1) ≤ │f(z)│ ≤ √ K│z│, whenever z _ D.
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