3 papers
math.FA2026
On p-summability in weighted Banach spaces of holomorphic functions
M. G. Cabrera-Padilla, A. Jiménez-Vargas, A. Keten Ãopur
Given an open subset of a complex Banach space , a weight on , and a complex Banach space , let $\Hv(U,F)$ denote the Banach space of all weighted holomorphic mapp…
math.FA2025
Surjective isometries on function spaces with derivatives
M. G. Cabrera-Padilla, A. Jiménez-Vargas, Takeshi Miura +1
Let be a complex Banach space with a norm for , where is a complex linear map from onto a Banach space , and represe…
math.CV2024
Factorization of Bloch mappings through a Hilbert space
M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado
We introduce the concept of vector-valued holomorphic mappings on the complex unit disc that factor through a Hilbert space and state the main properties of the space formed by suc…