[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2004.41.1.145

HOLOMORPHIC MAPPINGS INTO SOME DOMAIN IN A COMPLEX NORMED SPACE

Honda, Tatsuhiro (Ariake National College of Technology Omuta)

Publication Information

Journal of the Korean Mathematical Society / v.41, no.1, 2004 , pp. 145-156 More about this Journal

Abstract

Let $D_1,\;D_2$ be convex domains in complex normed spaces $E_1,\;E_2$ respectively. When a mapping $f\;:\;D_1{\rightarrow}D_2$ 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.

Keywords

Schwarz lemma; complex geodesic;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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