• Closed Range Integral Operators on Fock Spaces 

      Fekadiea, Zenaw; Mengestie, Tesfa; Takele, Mollalgn (Peer reviewed; Journal article, 2023)
      We study the closed range problem for generalized Volterra-type integral operators on Fock spaces. We first answer the problem using the notions of sampling sets, reverse Fock–Carleson measures, Berezin type integral ...
    • Closed range Volterra-type integral operators and dynamical sampling 

      Mengestie, Tesfa (Peer reviewed; Journal article, 2022)
      We solve the closed range problem for Volterra-type integral operator on Fock spaces. Several applications of the result related to the operators invertibility, Fredholm, and dynamical sampling structures from frame ...
    • Closed range weighted composition operators and dynamical sampling 

      Mengestie, Tesfa (Peer reviewed; Journal article, 2022)
      We solve the closed range problem for weighted composition operators on Fock spaces. The result equivalently characterizes when the operators are bounded from below. We give several applications of the main result related ...
    • Dynamics of weighted composition operators and their adjoints on the Fock space 

      Mengestie, Tesfa (Peer reviewed; Journal article, 2022)
      We study the cyclic structures of the weighted composition operators and their adjoints on the Fock space F2. A complete characterization of cyclicity which depends on the derivative of the symbol for the composition ...
    • Integral and weighted composition operators on Fock-type spaces 

      Mengestie, Tesfa; Takele, Mollalgn (Peer reviewed; Journal article, 2023)
      We study various structures of general Volterra-type integral and weighted composition operators acting between two Fock-type spaces F p ϕ and Fq ϕ , where ϕ is a radial function growing faster than the function z → |z| ...
    • Spectrums and uniform mean ergodicity of weighted composition operators on Fock spaces 

      Seyoum, Werkaferahu; Mengestie, Tesfa (Peer reviewed; Journal article, 2021)
      For holomorphic pairs of symbols (u,ψ), we study various structures of the weighted composition operator W(u,ψ)f=u⋅f(ψ) defined on the Fock spaces Fp. We have identified operators W(u,ψ) that have power-bounded and uniformly ...
    • Weighted superposition operators on Fock spaces 

      Mengestie, Tesfa (Peer reviewed; Journal article, 2022)
      We characterize all pairs of entire functions (u,ψ) for which the induced weighted superposition operator S(u,ψ) transforms one Fock space into another Fock space. Further analytical structures like boundedness and Lipschitz ...