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 …

Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces

L Zhang, Z Zhou, L Zhang, H Lu - Complex Analysis and Operator Theory, 2022 - Springer
In this paper, the hypercyclic behavior of multiples of composition operators induced by
linear fractional self-maps of unit disk on the weighted Dirichlet spaces D α p will be …

Disjoint mixing weighted backward shifts on the space of all complex valued square summable sequences.

L Zhang, ZH Zhou - Journal of Computational Analysis & …, 2014 - search.ebscohost.com
We characterize when N-tuples B< sup> r< sub> 1< sub> a< sub> 1,⋯, B< sup> r< sub> N<
sub> a< sub> N of powers of unilateral weighted back-ward shift operators defined the …

Dynamics of Composition Operators on Hilbert Spaces of Dirichlet Series

X Yao - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In the present work, we investigate the dynamic behavior of composition operators on Hilbert
spaces of Dirichlet series. Especially, we characterize completely their cyclicity. Then it is …

[PDF][PDF] Hypercyclicity of the Adjoint of Weighted Composition Operators on the Reproducing Kernel Hilbert Spaces

Z Guo - International Mathematical Forum, 2022 - m-hikari.com
Hypercyclicity of the Adjoint of Weighted Composition Operators on the Reproducing Kernel
Hilbert Spaces 1 Introduction Page 1 International Mathematical Forum, Vol. 17, 2022, no. 1, 33 …

[PDF][PDF] Syndetic sequences and dynamics of operators

H Rezaei - Communications of the Korean Mathematical Society, 2012 - researchgate.net
In the present paper, we show that a continuous linear operator T on a Frechet space
satisfies the Hypercyclic Criterion with respect to a syndetic sequence must satisfy the Kitai …

[PDF][PDF] CHAOTIC WEIGHTED COMPOSITION OPERATOR

S PANAYAPPAN, K KAVITHA - Electronic Journal of Mathematical …, 2017 - journals.ekb.eg
Hypercyclic weighted composition operator on H (Ω) of all holomorphic functions on an
arbitrary domain Ω in C is studied. Examples are given. Further, equivalent conditions for a …