41 citations · 41 across the 6 of their papers we have counts for
9 papers
A note on differentials of holomorphic functions
Richard Aron, Verónca Dimant, Manuel Maestre
Recently, in arXiv:2304.07149, a bridge was made between the very active area of spaces of Lipschitz real functions on a metric space and holomorphic functions on an open subset of…
Linearization of holomorphic Lipschitz functions
Richard Aron, Verónica Dimant, Luis C. García-Lirola +1
Let and be complex Banach spaces with denoting the open unit ball of This paper studies various aspects of the {\em holomorphic Lipschitz space} $\mathcal HL_0(B…
Reflexivity and non-weakly null maximizing sequences
Richard M. Aron, Domingo García, Daniel Pellegrino +1
We introduce and explore a new property related to reflexivity that plays an important role in the characterization of norm attaining operators. We also present an application to t…
Gleason parts for algebras of holomorphic functions on the ball of
Richard M. Aron, Verónica Dimant, Silvia Lassalle +1
For a complex Banach space with open unit ball consider the Banach algebras of bounded scalar-valued holomorphic functions and the subalgebra $\…
Dirichlet approximation and universal Dirichlet series
Richard Aron, Frédéric Bayart, Paul Gauthier +2
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance a…
Smooth surjections and surjective restrictions
Richard M. Aron, Jesús A. Jaramillo, Enrico Le Donne
Given a surjective mapping between Banach spaces, we investigate the existence of a subspace of , with the same density character as , such that the restric…