Free interpolation in Hardy-Orlicz spaces
Studia Mathematica, Tome 135 (1999) no. 2, pp. 179-190
Cet article a éte moissonné depuis 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.
Keywords:
free interpolation, Hardy-Orlicz spaces, interpolating sequences, Carleson condition
@article{10_4064_sm_135_2_179_190,
author = {Andreas Hartmann},
title = {Free interpolation in {Hardy-Orlicz} spaces},
journal = {Studia Mathematica},
pages = {179--190},
year = {1999},
volume = {135},
number = {2},
doi = {10.4064/sm-135-2-179-190},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-135-2-179-190/}
}
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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