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: Proceedings of the American Mathematical Society
سال: 1966
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1966-0192481-6