Antonio Galbis

collaborators

3 papers

math.FA2023

Boundedness and compactness of Hausdorff operators on Fock spaces

Óscar Blasco, Antonio Galbis

We obtain a complete characterization of the bounded Hausdorff operators acting on a Fock space $F_{α}^{p}$ and taking its values into a larger one $F_{α}^{q}, 0 < p \leq q \leq \infty,$ …

math.FA2023

Composition operators on Gelfand-Shilov classes

Héctor Ariza, Carmen Fernández, Antonio Galbis

We study composition operators on global classes of ultradifferentiable functions of Beurling type invariant under Fourier transform. In particular, for the classical Gelfand-Shilo…

math.FA2014

Convenient descriptions of weight functions in time-frequency analysis

Carmen Fernandez, Antonio Galbis, Joachim Toft

Let $v$ be a submultiplicative weight. Then we prove that $v$ satisfies GRS-condition, if and only if $v\cdot e^{-\ep |\cdo |}$ is bounded for every positive $\ep$. We use this equ…