A uniqueness theorem and the Myrberg phenomenon
نویسندگان
چکیده
منابع مشابه
A Uniqueness Theorem and the Myrberg Phenomenon for a Zalcman Domain
Let R = ∆0 \ ∪n∆n be a Zalcman domain (or L-domain), where ∆0 : 0 < |z| < 1, ∆n : |z − cn| ≤ rn, cn ↘ 0, ∆n ⊂ ∆0 and ∆n ∩ ∆m = φ (n ̸= m). For an unlimited two-sheeted covering φ : ∆̃0 → ∆0 with the branch points {φ(cn)}, set R̃ = φ−1(R). In the case cn = 2−n, it was proved that if a uniqueness theorem is valid for H∞(R) at z = 0, then the Myrberg phenomenon H∞(R) ◦ φ = H∞(R̃) occurs. One might sus...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 1998
ISSN: 0021-7670,1565-8538
DOI: 10.1007/bf02786932