Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari(Springer-Verlag, 2019-04)

[EN] Let v be a radial weight function on the unit disc or on the complex plane. It is shown that for each analytic function f0 in the Banach space Hv all analytic functions f such that v|f| is bounded, the distance of f0 ...

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari(Duke University Press, 2019-04)

[EN] We determine the solid hull for 2 < p < infinity and the solid core for 1 < p < 2 of weighted Bergman spaces A(mu)(p) , 1 < p < infinity, of analytic functions on the disk and on the whole complex plane, for a very ...

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari(Springer-Verlag, 2018)

[EN] We determine the solid hull and solid core of weighted Banach spaces H-upsilon(infinity) of analytic functions functions f such that upsilon vertical bar f vertical bar is bounded, both in the case of the holomorphic ...

Bonet Solves, José Antonio; Taskinen, Jari(European Mathematical Society Publishing House, 2018)

[EN] Given a continuous, radial, rapidly decreasing weight v on the complex plane, we study the solid hull of its associated weighted space H¿v(C) of all the entire functions f such that v|f| is bounded. The solid hull is ...