منابع مشابه
Generalized Ahlfors Functions
Let Σ be a bordered Riemann surface with genus g and m boundary components. Let {γz}z∈∂Σ be a smooth family of smooth Jordan curves in C which all contain the point 0 in their interior. Let p ∈ Σ and let F be the family of all bounded holomorphic functions f on Σ such that f(p) ≥ 0 and f(z) ∈ γ̂z for almost every z ∈ ∂Σ. Then there exists a smooth up to the boundary holomorphic function f0 ∈ F w...
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This is an expanded version of one of the Lectures in memory of Lars Ahlfors in Haifa in 1996. Some mistakes are corrected and references added. This article is an exposition for non-specialists of Ahlfors’ work in the theory of meromorphic functions. When the domain is not specified we mean meromorphic functions in the complex plane C. The theory of meromorphic functions probably begins with t...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2014
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-014-9260-4