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Listar por palabra clave "Entire functions"

Mostrando ítems 1-6 de 6

A note about Volterra operators on weighted Banach spaces of entire functions

Bonet Solves, José Antonio; Taskinen, Jari (Wiley-VCH Verlag, 2015-08)

We characterize boundedness, compactness and weak compactness of Volterra operators Vg acting between different weighted Banach spaces H∞ v (C) of entire functions with sup-norms in terms of the symbol g; thus we ...
Classical operators on the Hörmander algebras

Beltrán Meneu, María José; Bonet Solves, José Antonio; Fernández, Carmen (American Institute of Mathematical Sciences (AIMS), 2015-02)

We study the integration operator, the differentiation operator and more general differential operators on radial Fr´echet or (LB) H¨ormander algebras of entire functions. We analyze when these operators are power bounded, ...
Hausdorff Operators on Weighted Banach Spaces of Type H-infinity

Bonet Solves, José Antonio (Springer-Verlag, 2022-01)

[EN] Some criteria for the continuity of Hausdorff operators on weighted Banach spaces of analytic functions with sup-norms are presented. The operator is defined in a different way on spaces of entire functions and on ...
Superposition operators between weighted Banach spaces of analytic functions of controlled growth

Bonet Solves, José Antonio; Vukotić, Dragan (Springer Verlag (Germany), 2013-07)

[EN] We characterize the entire functions which transform a weighted Banach space of holomorphic functions on the disc of type H∞ into another such space by superposition. We also show that all the superposition operators ...
The range of the restriction map for a multiplicity variety in Hörmander algebras of entire functions

Bonet Solves, José Antonio; Fernandez Rosell, Carmen (Springer Verlag (Germany), 2014-05)

[EN] Characterizations of interpolating multiplicity varieties for Hörmander algebras Ap(C) and A0 p(C) of entire functions were obtained by Berenstein and Li (J Geom Anal 5(1):1–48, 1995) and Berenstein et al. (Can J Math ...
The spectrum of Volterra operators on weighted spaces of entire functions

Bonet Solves, José Antonio (Oxford University Press (OUP), 2015-06)

We investigate the spectrum of the Volterra operator Vg with symbol an entire function g, when it acts on weighted Banach spaces H∞ v (C) of entire functions with sup-norms and when it acts on Hörmander algebras ...