W. Lusky

activity

20172020

collaborators

4 papers

math.FA2020

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 $T_{a}$ in weighted sup-normed Banach spaces $H_{v}^{\infty}$ of holomorphic functions defined on…

math.DS2018

Zero-dimensional isomorphic dynamical models

Tomasz Downarowicz, Lei Jin, Wolfgang Lusky +1

By an \emph{assignment} we mean a mapping from a Choquet simplex $K$ to probability measure-preserving systems, obeying some natural restrictions. We prove that if $Φ$ is an aperio…

math.FA2017

Monomial basis in Korenblum type spaces of analytic functions

José Bonet, Wolfgang Lusky, Jari Taskinen

It is shown that the monomials $Λ = (z^{n})_{n = 0}^{\infty}$ are a Schauder basis of the Fréchet spaces $A_{+}^{- γ}, γ \geq 0,$ that consists of all the analytic functions $f$ on the uni…

math.FA2017

Solid hulls and cores of weighted $H^{\infty}$ -spaces

José Bonet, Wolfgang Lusky, Jari Taskinen

We determine the solid hull and solid core of weighted Banach spaces $H_{v}^{\infty}$ of analytic functions $f$ such that $v ∣ f ∣$ is bounded, both in the case of the holomorphic functio…

On the boundedness of Toeplitz operators with radial symbols over weighted sup-norm spaces of holomorphic functions

Zero-dimensional isomorphic dynamical models

Monomial basis in Korenblum type spaces of analytic functions

Solid hulls and cores of weighted H∞-spaces

Solid hulls and cores of weighted $H^{\infty}$ -spaces