The Carathéodory-Féjer Interpolation Problem in Hardy Classes

Daniel Alpay; Vladimir Bolotnikov

doi:10.4171/zaa/491

JournalszaaVol. 13, No. 4pp. 583–597

The Carathéodory-Féjer Interpolation Problem in Hardy Classes

Daniel Alpay
Ben Gurion University of the Negev, Beer Sheva, Israel
Vladimir Bolotnikov
College of William and Mary, Williamsburg, USA

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Abstract

In this paper we study the Carathéodory-Féjer interpolation problem in the Hardy spaces $ma t hbb H_{2}$ of the unit disk. The results are presented within a framework which slightly generalizes the $ma t hbb H_{2}$ spaces, and allow to consider in a unified way Hardy spaces of the unit disk and of a half plane.

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Daniel Alpay, Vladimir Bolotnikov, The Carathéodory-Féjer Interpolation Problem in Hardy Classes. Z. Anal. Anwend. 13 (1994), no. 4, pp. 583–597

DOI 10.4171/ZAA/491