Bi-lipschicity of quasiconformal harmonic mappings in the plane
نویسندگان
چکیده
منابع مشابه
Quasiconformal Extension of Harmonic Mappings in the Plane
Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane. Introduction A well-known criterion due to Becker [5] states that if a locally univalent analytic function φ in the unit disk D satisfies (1) sup z∈D ∣∣∣∣φ′′(z) φ′(z) ∣∣∣∣ (1− ...
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ژورنال
عنوان ژورنال: Filomat
سال: 2009
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil0901085m