2017
Том 69
№ 7

All Issues

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

Pham Hien Bang

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 11, pp 1852-1859.

Citation Example: Pham Hien Bang Fréchet-valued holomorphic functions on compact sets in (DFN)-spaces // Ukr. Mat. Zh. - 2008. - 60, № 11. - pp. 1578–1584.

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