Free interpolation in Hardy-Orlicz spaces
Studia Mathematica, Tome 135 (1999) no. 2, pp. 179-190

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-135-2-179-190
Keywords: free interpolation, Hardy-Orlicz spaces, interpolating sequences, Carleson condition

Andreas Hartmann 1

1
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Andreas Hartmann. Free interpolation in Hardy-Orlicz spaces. Studia Mathematica, Tome 135 (1999) no. 2, pp. 179-190. doi: 10.4064/sm-135-2-179-190

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