We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function defined in a subset of an open and connected subset of a Banach space , with values in another Banach space , and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions.
"Weighted Vector-Valued Holomorphic Functions on Banach Spaces." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/501592