Complex symmetric weighted composition operators on H γ ( D )

• Main Authors: Lim, Renon, Khoi, Le Hai
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2019
• Subjects: Science::Mathematics; Hardy Space; Bergman Space
• Online Access: https://hdl.handle.net/10356/107599; http://hdl.handle.net/10220/50352
• Institution: Nanyang Technological University

We study the complex symmetric structure of weighted composition operators of the form Wψ,ϕ on the Hilbert space Hγ(D) of holomorphic functions over the open unit disk D with reproducing kernels K(γ) w = (1 − wz)−γ, where γ ∈ N. First, we consider conjugations on Hγ(D) of the form Au,vf = u·f ◦ v...