Free interpolation in Hardy-Orlicz spaces

Volume 135 / 1999

Andreas Hartmann Studia Mathematica 135 (1999), 179-190 DOI: 10.4064/sm-135-2-179-190

Abstract

We show that the Carleson condition is necessary and sufficient for free interpolation in Hardy-Orlicz spaces $ℋ_φ$ on the unit disk ⅅ under certain conditions on φ, and we give a characterization of the trace space $ℋ_φ|_Λ}$ if Λ is a finite union of Carleson sequences.

Authors

  • Andreas Hartmann

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