6 papers
On solid cores and hulls of weighted Bergman spaces
José Bonet, Wolfgang Lusky, Jari Taskinen
We consider weighted Bergman spaces on the unit disc as well as the corresponding spaces of entire functions, defined using non-atomic Borel measures with radial symmetry.…
On the boundedness of Toeplitz operators with radial symbols over weighted sup-norm spaces of holomorphic functions
José Bonet, Wolfgang Lusky, Jari Taskinen
We prove sufficient conditions for the boundedness and compactness of Toeplitz operators in weighted sup-normed Banach spaces of holomorphic functions defined on…
Zero-dimensional isomorphic dynamical models
Tomasz Downarowicz, Lei Jin, Wolfgang Lusky +1
By an \emph{assignment} we mean a mapping from a Choquet simplex to probability measure-preserving systems, obeying some natural restrictions. We prove that if is an aperio…
Schauder bases and the decay rate of the heat equation
José Bonet, Wolfgang Lusky, Jari Taskinen
We consider the classical Cauchy problem for the linear heat equation and integrable initial data in the Euclidean space . In the case we show that given a weig…
Monomial basis in Korenblum type spaces of analytic functions
José Bonet, Wolfgang Lusky, Jari Taskinen
It is shown that the monomials are a Schauder basis of the Fréchet spaces that consists of all the analytic functions on the uni…
Solid hulls and cores of weighted -spaces
José Bonet, Wolfgang Lusky, Jari Taskinen
We determine the solid hull and solid core of weighted Banach spaces of analytic functions such that is bounded, both in the case of the holomorphic functio…