Composition operators on Hardy spaces of a half plane
Elliott, Sam · Jury, Michael T.
Original · EN
We prove that a composition operator is bounded on the Hardy space H² of the right half-plane if and only if the inducing map fixes the point at infinity non-tangentially, and has a finite angular derivative λ there. In this case the norm, essential norm, and spectral radius of the operator are all equal to √λ.
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