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Listar por autor "Taskinen, Jari"

Mostrando ítems 1-11 de 11

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 ...
Distance formulas on weighted Banach spaces of analytic functions

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 ...
On decay rates of the solutions of parabolic Cauchy problems

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari (Cambridge University Press, 2021-06)

[EN] We consider the Cauchy problem for a general class of parabolic partial differential equations in the Euclidean space R-N. We show that given a weighted L-p-space L-w(p)(R-N) with 1 <= p < infinity and a fast growing ...
On solid cores and hulls of weighted Bergman spaces A^1_mu

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari (Springer, 2022-09-14)

[EN] We consider weighted Bergman spaces A^1_mu on the unit disc as well as the corresponding spaces of entire functions, defined using non-atomic Borel measures with radial symmetry. By extending the techniques from the ...
On the boundedness of Toeplitz operators with radial symbols over weighted sup-norm spaces of holomorphic functions

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari (Elsevier, 2021-01-01)

[EN] We prove sufficient conditions for the boundedness and compactness of Toeplitz operators T-a in weighted sup-normed Banach spaces H-v(infinity) of holomorphic functions defined on the open unit disc D of the complex ...
Schauder bases and the decay rate of the heat equation

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari (Springer-Verlag, 2019-09)

[EN] We consider the classical Cauchy problem for the linear heat equation and integrable initial data in the Euclidean space R-N. We show that given a weighted L-p-space L-w(p)(R-N) with 1 <= p < infinity and a fast-growing ...
Solid cores and solid hulls of weighted Bergman spaces

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 ...
Solid hulls and cores of weighted H-infinity-spaces

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 ...
Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights

Bonet Solves, José Antonio; Taskinen, Jari (Finnish Academy of Science and Letters, 2018)

[EN] Let v(r) = exp(¿a/(1 ¿ r) b ) with a > 0 and 0 < b ¿ 2 be an exponential weight on the unit disc. We study the solid hull of its associated weighted Banach space H¿ v (D) of all the analytic functions f on the ...
Solid hulls of weighted Banach spaces of entire functions

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 ...
Unbounded Bergman projections on weighted spaces with respect to exponential weights

Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari (Springer-Verlag, 2021-12)

[EN] There are recent results concerning the boundedness and also unboundedness of Bergman projections on weighted spaces of the unit disc in special cases of rapidly decreasing weights, i.e. "large" Bergman spaces. The ...