3 papers
math.FA2026
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…
math.FA2025
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…
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…