Composition operators on Hardy spaces of a half-plane

作者:Elliott Sam*; Jury Michael T
来源:Bulletin of the London Mathematical Society, 2012, 44(3): 489-495.
DOI:10.1112/blms/bdr110

摘要

We prove that a composition operator is bounded on the Hardy space H-2 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 lambda there. In this case the norm, essential norm and spectral radius of the operator are all equal to root lambda.

  • 出版日期2012-6