3 citations · 6 across the 8 of their papers we have counts for
8 papers
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…
On p-summability in weighted Banach spaces of holomorphic functions
M. G. Cabrera-Padilla, A. Jiménez-Vargas, A. Keten Çopur
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…
Weighted holomorphic mappings associated with p-compact type sets
M. G. Cabrera-Padilla, A. Jiménez-Vargas, A. Keten Çopur
Given an open subset of a complex Banach space , a weight on , and a complex Banach space , let denote the Banach space of all weighted…
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…
p-Summing Bloch mappings on the complex unit disc
M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado
The notion of -summing Bloch mapping from the complex unit open disc into a complex Banach space is introduced for any . It is shown that the…
On composition ideals and dual ideals of bounded holomorphic mappings
M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado
Applying a linearization theorem due to J. Mujica, we study the ideals of bounded holomorphic mappings generated by composition with an operato…
Duality for ideals of Lipschitz maps
M. G. Cabrera-Padilla, J. A. Chávez-Domínguez, A. Jiménez-Vargas +1
We develop a systematic approach to the study of duality for ideals of Lipschitz maps from a metric space to a Banach space, inspired by the classical theory that relates ideals of…
Lipschitz tensor product
M. G. Cabrera-Padilla, J. A. Chávez-Domínguez, A. Jiménez-Vargas +1
Inspired by ideas of R. Schatten in his celebrated monograph on a theory of cross-spaces, we introduce the notion of a Lipschitz tensor product X\boxtimes E of a pointed metric spa…