In this paper we study weighted composition operators Wg,ψ commuting with self-adjoint weighted composition operators Wf,ϕ on the Hardy space H2. In particular, we investigate which combinations of symbol functions g and ψ give rise to Wg,ψ commuting with a self-adjoint weighted composition operator on H2. We also show that these commuting weighted composition operators are normal.
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Eungil Ko (2020) studied this question.
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