Composition operators on Hardy spaces of a half‐plane

By Sam Elliott, M. Jury. 2009

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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 .

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/072a8e9c1d2dad5d3064e1c4d10a8217aba1f91d

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In Applied Mathematics

  1. Sam Elliott

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