A. Jiménez-Vargas

activity

20142025

most citedDuality for ideals of Lipschitz maps

3 citations · 7 across the 9 of their papers we have counts for

collaborators

9 papers

math.FA2025

Lipschitz interpolating sequences

A. Jiménez-Vargas, Abraham Rueda Zoca

Let $X$ be a metric space with a base point $0$ , and let $Lip_{0} (X)$ be the Banach space of all Lipschitz functions $f : X ⟶ R$ such that $f (0) = 0$ . Given…

math.FA2025

Surjective isometries on function spaces with derivatives

M. G. Cabrera-Padilla, A. Jiménez-Vargas, Takeshi Miura +1

Let $A$ be a complex Banach space with a norm $∥ f ∥ = ∥ f ∥_{X} + ∥ d (f) ∥_{Y}$ for $f \in A$ , where $d$ is a complex linear map from $A$ onto a Banach space $B$ , and $∥ \cdot ∥_{K}$ represe…

math.CV2023

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…

math.FA2023

p-Summing Bloch mappings on the complex unit disc

M. G. Cabrera-Padilla, A. Jiménez-Vargas, D. Ruiz-Casternado

The notion of $p$ -summing Bloch mapping from the complex unit open disc $D$ into a complex Banach space $X$ is introduced for any $1 \leq p \leq \infty$ . It is shown that the…

math.CV2023

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 $D$ is addressed under a new approach with the introduction of the concepts…

math.FA2017★ 1 cited

2-local standard isometries on vector-valued Lipschitz function spaces

Antonio Jiménez-Vargas, Lei Li, Antonio M. Peralta +2

Under the right conditions on a compact metric space $X$ and on a Banach space $E$ , we give a description of the $2$ -local (standard) isometries on the Banach space $\hbox{Lip}(X,E…