6533b861fe1ef96bd12c5772

RESEARCH PRODUCT

Holomorphic Mappings of Bounded Type on (DF)-Spaces

Domingo GarcíaPablo GalindoManuel Maestre

subject

Discrete mathematicsFréchet spaceBounded functionHolomorphic functionUniform boundednessTotally bounded spaceNatural topologyIdentity theoremBounded typeMathematics

description

We study the holomorphic functions of bounded type defined on (DF)-spaces. We prove that they are of uniformly bounded type. The space of all these functions is a Frechet space with its natural topology. Some consequences and related results are obtained.

https://doi.org/10.1016/s0304-0208(08)70315-3