Adjoints of composition operators with irrational symbol

Gu, Caixing; Rizzie, Erin; Shapiro, Jonathan

doi:10.1090/proc/13340

Adjoints of composition operators with irrational symbol
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by Caixing Gu, Erin Rizzie and Jonathan Shapiro PDF

Proc. Amer. Math. Soc. 148 (2020), 145-155 Request permission

Abstract:

In this paper we derive formulas for the adjoints of a class of composition operators with irrational symbol, in particular, the $n$-th root functions. We discuss these formulas on both the Hardy space and the Bergman space.

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