12 citations · 53 across the 11 of their papers we have counts for
9 papers · 1 filter
Composition-differentiation operators on
Robert F. Allen, Katherine Heller, Matthew A. Pons
We investigate composition-differentiation operators acting on the space , the space of analytic functions on the open unit disk whose first derivative is in . Specifical…
Hypercyclicity of composition operators on discrete weighted Banach spaces
Robert F. Allen, Flavia Colonna, Rubén A. Martínez-Avendaño +1
In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition opera…
Weighted composition operators on discrete weighted Banach spaces
Robert F. Allen, Matthew A. Pons
We present the current results in the study of weighted composition operators on weighted Banach spaces of an unbounded, locally finite metric space. Specifically, we determine cha…
Compact differences of composition operators on weighted Dirichlet spaces
Robert F. Allen, Katherine Heller, Matthew A. Pons
Here we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition oper…
Isometric composition operators on the analytic Besov spaces
Robert F. Allen, Katherine Heller, Matthew A. Pons
We investigate the isometric composition operators on the analytic Besov spaces. For we show that an isometric composition operator is induced only by a rotation of the dis…
Composition-differentiation operators on the Dirichlet space
Robert F. Allen, Katherine Heller, Matthew A. Pons
We investigate composition-differentiation operators acting on the Dirichlet space of the unit disk. Specifically, we determine characterizations for bounded, compact, and Hilbert-…