8 citations · 8 across the 7 of their papers we have counts for
7 papers
Lipschitz stable sequence classes: an approach to Rademacher type and cotype of Lipschitz functions
D. Ruiz-Casternado
In this paper, we extend sequence-class methods from linear and multilinear theory to the Lipschitz setting, highlighting the substantial differences that arise from the lack of li…
A-compact holomorphic Lipschitz mappings on the unit ball of a Banach space
A. Jiménez-Vargas, D. Ruiz-Casternado
Let X and Y be complex Banach spaces, B_X be the open unit ball of X and HL(B_X,Y) be the Banach space of all holomorphic Lipschitz maps f:B_X->Y such that f(0)=0, endowed with the…
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…
Compact Bloch mappings on the complex unit disc
A. Jiménez-Vargas, D. Ruiz-Casternado
The known duality of the space of Bloch complex-valued functions on the open complex unit disc is addressed under a new approach with the introduction of the concepts…
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…
On holomorphic mappings with compact type range
A. Jiménez-Vargas, D. Ruiz-Casternado, J. M. Sepulcre
Using Mujica's linearization theorem, we extend to the holomorphic setting some classical characterizations of compact (weakly compact, Rosenthal, Asplund) linear operators between…