3 papers
math.DS2025
On the Dynamics of Weighted Composition Operators II
Nilson C. Bernardes, Antonio Bonilla, João V. A. Pinto
We establish complete characterizations of various notions of expansivity for weighted composition operators on a very general class of locally convex spaces of continuous function…
math.DS2025
On the Dynamics of Weighted Composition Operators
Nilson C. Bernardes, Antonio Bonilla, João V. A. Pinto
We study the properties of power-boundedness, Li-Yorke chaos, distributional chaos, absolutely Cesàro boundedness and mean Li-Yorke chaos for weighted composition operators on $L^p…
math.CV2025
Mean ergodicity of multiplication operators in weighted Dirichlet spaces
Antonio Bonilla, Daniel Seco
We characterize bounded multiplication operators in weighted Dirichlet spaces that are power bounded, Cesàro bounded and uniformly Kreiss. Moreover, we show the equivalence in such…