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Toeplitz operators in the commutant of a composition operator

Bruce Cload — 1999

Studia Mathematica

If ϕ is an analytic self-mapping of the unit disc D and if $H^{2} (D)$ is the Hardy-Hilbert space on D, the composition operator $C_{ϕ}$ on $H^{2} (D)$ is defined by $C_{ϕ} (f) = f \circ ϕ$ . In this article, we consider which Toeplitz operators $T_{f}$ satisfy $T_{f} C_{ϕ} = C_{ϕ} T_{f}$

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