50 citations · 269 across the 23 of their papers we have counts for
20 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…
Weighted composition operators from the Bloch space to weighted Banach spaces on bounded homogeneous domains
Robert F. Allen
We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, wi…
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…
Multiplication operators between Lipschitz-type spaces on a tree
Robert F. Allen, Flavia Colonna, Glenn R. Easley
Let be the space of complex-valued functions on the set of vertices of an rooted infinite tree rooted at such that the difference of the values of at…
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…
Multiplication operators on the weighted Lipschitz space of a tree
Robert F. Allen, Flavia Colonna, Glenn R. Easley
We study the multiplication operators on the weighted Lipschitz space consisting of the complex-valued functions on the set of vertices of an infinit…
Multiplication operators on
Robert F. Allen, Katherine Heller, Matthew A. Pons
In this paper, we study the multiplication operators on , the space of analytic functions on the open unit disk whose first derivative is in . Specifically, w…
Weighted composition operators on the Bloch space of a bounded homogeneous domain
Robert F. Allen, Flavia Colonna
In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in with particular emp…
Multiplication operators between iterated logarithmic Lipschitz spaces of a tree
Robert F. Allen, Flavia Colonna, Andrew Prudhom
In this article, we characterize the bounded and the compact multiplication operators between distinct iterated logarithmic Lipschitz spaces, and between the Lipschitz space and an…
Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree
Robert F. Allen, Flavia Colonna, Glenn R. Easley
We introduce a class of iterated logarithmic Lipschitz spaces , , on an infinite tree which arise naturally in the context of operator theory. We…
Perturbations in epidemiological models: When zombies attack, we can survive!
Robert F. Allen, Cassandra Jens, Theodore J. Wendt
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population. These bifu…
The differentiation operator on discrete function spaces of a tree
Robert F. Allen, Colin M. Jackson
In this paper, we study the differentiation operator acting on discrete function spaces; that is spaces of functions defined on an infinite rooted tree. We discuss, through its con…
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-…
Topological structure of the space of composition operators on of an unbounded, locally finite metric space
Robert F. Allen, Whitney George, Matthew A. Pons
We study properties of the topological space of composition operators on the Banach algebra of bounded functions on an unbounded, locally finite metric space in the operator norm t…
Composition operators on weighted Banach spaces of a tree
Robert F. Allen, Matthew A. Pons
We study composition operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm and…
Analysis of SIR epidemic models with sociological phenomenon
Robert F. Allen, Katherine Heller, Matthew A. Pons
We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the indiv…
Spectrum of a composition operator with automorphic symbol
Robert F. Allen, Thong M. Le, Matthew A. Pons
We give a complete characterization of the spectrum of composition operators, induced by an automorphism of the open unit disk, acting on a family of Banach spaces of analytic func…
Weighted composition operators from to the Bloch space of a bounded homogeneous domain
Robert F. Allen, Flavia Colonna
Let be a bounded homogeneous domain in . In this paper, we study the bounded and the compact weighted composition operators mapping the Hardy space …