Bonet Solves, José Antonio; Domanski, Pawel(Springer Verlag (Germany), 2011-09)
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the ...
Bonet Solves, José Antonio; Mangino, Elisabetta M.(Informa UK (National Inquiry Services Center), 2020-08-03)
[EN] In analogy to the notion of associated weights for weighted spaces of analytic functions with sup-norms, p-associated weights are introduced for spaces of entire p-integrable functions, 1 <= p < infinity. As an ...
Bes, J.; Martin O.; Peris Manguillot, Alfredo(Elsevier, 2011)
We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. ...
Bès, J.; Conejero, J. Alberto; Papathanasiou, D.(Elsevier, 2018)
[EN] We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator D of complex differentiation supports a hypercyclic algebra on the space of entire functions. In particular we obtain ...
Jorda Mora, Enrique; Zarco García, Ana María(Hindawi Publishing Corporation, 2013)
For an arbitrary open subset U subset of R-d or U subset of C-d and a continuous function v : U ->]0,infinity[ we show that the space h(v0) (U) of weighed harmonic functions is almost isometric to a (closed) subspace of ...
Seyoum, Werkaferahu; Mengestie, Tesfa; Bonet Solves, José Antonio(Springer-Verlag, 2019-12-05)
[EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly ...
Bonet Solves, José Antonio; Gómez Collado, María del Carmen; Jornet Casanova, David; Wolf, Elke(Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters), 2012)
We investigate several properties of operator-weighted composition maps W-psi,W-phi f (right bar arrow) psi(f o phi) on unweighted H (D, X) and weighted H-nu(infinity) (D, X) spaces of vector-valued analytic functions on ...
Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David(Elsevier, 2016-04-15)
[EN] We study composition operators with holomorphic symbols defined on spaces of meromorphic functions, when endowed with their natural locally convex topology. First, we show that such operators are well-defined, continuous ...
Bonet Solves, José Antonio(Cambridge University Press, 2018)
[EN] The algebra of all Dirichlet series that are uniformly convergent in the half-plane of complex numbers with positive real part is investigated. When it is endowed with its natural locally convex topology, it is a ...
Jorda Mora, Enrique; Zarco García, Ana María(Springer Verlag, 2014-09)
We study Banach spaces of harmonic functions on open sets of or endowed with weighted supremum norms. We investigate the harmonic associated weight defined naturally as the analogue of the holomorphic associated weight ...
Jorda Mora, Enrique(Hindawi Publishing Corporation, 2013)
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a ...