Blar i HVL Open på forfatter "Mengestie, Tesfa Yigrem"
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Convex-cyclic weighted composition operators and their adjoints
Mengestie, Tesfa Yigrem (Peer reviewed; Journal article, 2021)We characterize the convex-cyclic weighted composition operators W(u,ψ) and their adjoints on the Fock space in terms of the derivative powers of ψ and the location of the eigenvalues of the operators on the complex plane. ... -
On the differential and Volterra-type integral operators on Fock-type spaces
Mengestie, Tesfa Yigrem (Peer reviewed; Journal article, 2022)The differential operator fails to admit some basic structures including continuity when it acts on the classical Fock spaces or weighted Fock spaces, where the weight functions grow faster than the classical Gaussian ... -
Resolvent growth condition for the composition operator on the Fock space
Mengestie, Tesfa Yigrem (Peer reviewed; Journal article, 2020)For each analytic map ψ on the complex plane C, we study the Ritt’s resolvent growth condition for the composition operator Cψ:f→f∘ψ on the Fock space F2. We show that Cψ satisfies such a condition if and only if it is ... -
Supercyclicity and Resolvent Condition for Weighted Composition Operators
Mengestie, Tesfa Yigrem; Seyoum, Werkaferahu (Peer reviewed; Journal article, 2021)For pairs of holomorphic maps(u,ψ) on the complex plane, we study some dynamical properties of the weighted composition operator W(u,ψ) on the Fock spaces. We prove that no weighted composition operator on the Fock spaces ... -
Volterra type integral operators and composition operators on model spaces
Mengestie, Tesfa Yigrem (Journal article; Peer reviewed, 2015)We study some mapping properties of Volterra type integral operators and composition operators on model spaces. We also discuss and give out a couple of interesting open problems in model spaces where any possible solution ...