Fréchet-valued holomorphic functions on compact sets in (DFN)-spaces

• Datum: 2008
• Hauptverfasser: Pham, Hien Bang, Фам, Гієн Банг
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3272
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish the equivalence between the weak holomorphicity and holomorphicity of Fréchet-valued functions on compact polydisks in (DFN)-spaces. Moreover, the relations between separately holomorphic functions and holomorphic functions on compact polydisks in (DFN)-spaces are also given.