[HTML][HTML] Weighted composition operators on Fock spaces and their dynamics

T Carroll, C Gilmore - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
Bounded weighted composition operators, as well as compact weighted composition
operators, on Fock spaces have been characterised. This characterisation is refined in terms …

Dynamics of weighted composition operators

J Bès - Complex Analysis and Operator Theory, 2014 - Springer
We study the dynamic behaviour of weighted composition operators on the space of
holomorphic functions on a simply connected plane domain and endowed with the compact …

Hypercyclicity of Weighted Composition Operators on -Spaces

MR Azimi, MR Jabbarzadeh - Mediterranean Journal of Mathematics, 2022 - Springer
Abstract Let (X, Σ, μ) be a σ-finite measure space and W= u C φ be a weighted composition
operator on L p (Σ)(1≤ p<∞), defined by W: f↦ u.(f∘ φ), where φ: X→ X is a measurable …

Hypercyclicity of weighted composition operators on a weighted Dirichlet space

L Zhang, ZH Zhou - Complex Variables and Elliptic Equations, 2014 - Taylor & Francis
In the present paper, we study the hypercyclicity of weighted composition operators on the
weighted Dirichlet space. According to the value of, we give different results: when, we have …

Linear dynamical systems

C Gilmore - arXiv preprint arXiv:2007.12647, 2020 - arxiv.org
This expository survey is dedicated to recent developments in the area of linear dynamics.
Topics include frequent hypercyclicity, $\mathcal {U} $-frequent hypercyclicity, reiterative …

A review of some recent work on hypercyclicity

CTJ Dodson - arXiv preprint arXiv:1211.4390, 2012 - arxiv.org
Even linear operators on infinite-dimensional spaces can display interesting dynamical
properties and yield important links among functional analysis, differential and global …

Subspace-hypercyclic conditional type operators on -spaces

MR Azimi, Z Naghdi - arXiv preprint arXiv:2211.07939, 2022 - arxiv.org
A conditional weighted composition operator $ T_u: L^ p (\Sigma)\rightarrow L^ p (\mathcal
{A}) $($1\leq p<\infty $), is defined by $ T_u (f):= E^{\mathcal {A}}(uf\circ\varphi) $, where …

Characterization of hypercyclic weighted composition operators on the space of holomorphic functions

M Goliński, A Przestacki - Annales Polonici Mathematici, 2021 - impan.pl
Characterization of hypercyclic weighted composition operators on the space of
holomorphic functionsAll logo sign_in Unia Europejska A+ CATEGORY SCIENTIFIC UNIT …

Non-weakly supercyclic classes of weighted composition operators on Banach spaces of analytic functions

A Moradi, BK Robati, K Hedayatian - Bulletin of the Belgian …, 2017 - projecteuclid.org
We present a non-weak supercyclicity criterion for vectors in infinite dimensional Banach
spaces. Also, we give sufficient conditions under which a class of weighted composition …

[PDF][PDF] Frequent hypercyclicity of weighted composition operators on spaces of holomorphic functions

M Goliński, A Przestacki - Preprint - researchgate.net
FREQUENT HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON
SPACES OF HOLOMORPHIC FUNCTIONS 1. Introduction In this paper we st Page 1 …