Alpay, D.; Bolotnikov, V. The Carathéodory-Féjer interpolation problem in Hardy classes. (English) Zbl 0816.47012 Z. Anal. Anwend. 13, No. 4, 583-597 (1994). 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. Cited in 2 Documents MSC: 47A57 Linear operator methods in interpolation, moment and extension problems 30E05 Moment problems and interpolation problems in the complex plane Keywords:fundamental matrix inequalities; Carathéodory-Féjer interpolation problem; Hardy spaces of the unit disk and of a half plane PDFBibTeX XMLCite \textit{D. Alpay} and \textit{V. Bolotnikov}, Z. Anal. Anwend. 13, No. 4, 583--597 (1994; Zbl 0816.47012) Full Text: DOI