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The Carathéodory-Féjer interpolation problem in Hardy classes. (English) Zbl 0816.47012

Summary: We study the Carathéodory-Féjer interpolation problem in the Hardy spaces \({\mathbf H}_ 2\) of the unit disk. The results are presented within a framework which slightly generalizes the \({\mathbf H}_ 2\) spaces, and allow to consider in a unified way Hardy spaces of the unit disk and of a half plane.

MSC:

47A57 Linear operator methods in interpolation, moment and extension problems
30E05 Moment problems and interpolation problems in the complex plane
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