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Holomorphic mappings into some domain in a complex normed space

Tatsuhiro Honda
대한수학회 (The Korean Mathematical Society)|2004.01|대한수학회지 (Journal of the KMS)|제41권 제1호|pp. 145-156

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Abstract

Let D1,D2 be convex domains in complex normed spaces E1, E2 respectively. When a mapping f : D1 → D2 is holomorphic with f(0) = 0, we obtain some results like the Schwarz lemma. Furthermore, we discuss a condition whereby f is linear or injective or isometry.

참고문헌 (14)

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  14. "Le lemme de Schwarz et la caract？erisation des automorphismes analytiques", 217 (1993)

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