On the degree of holomorphic mappings from an annulus into an annulus
نویسندگان
چکیده
منابع مشابه
Harmonic Mappings of an Annulus, Nitsche Conjecture and Its Generalizations
As long ago as 1962 Nitsche [8] conjectured that a harmonic homeomorphism h : A(r,R) onto −→ A(r∗, R∗) between planar annuli exists if and only if R∗ r∗ > 1 2 ` R r + r R ́ . We prove this conjecture when the domain annulus is not too wide; explicitly, when log R r 6 3 2 . For general A(r, R) the conjecture is proved under additional assumption that either h or its normal derivative have vanishi...
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ژورنال
عنوان ژورنال: Ukrainian Mathematical Journal
سال: 2004
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-005-0062-5