Extremal solutions of Nevanlinna-Pick problems and certain classes of inner functions

Nacho Monreal Galán, Artur Nicolau

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2018, Hebrew University Magnes Press. Consider a scaled Nevanlinna-Pick interpolation problem and let ∏ be the Blaschke product whose zeros are the nodes of the problem. It is proved that if ∏ belongs to a certain class of inner functions, then the extremal solutions of the problem or most of them are in the same class. Three different classical classes are considered: inner functions whose derivative is in a certain Hardy space, exponential Blaschke products and the well-known class of α-Blaschke products, for 0 OpenSPiltSPi α OpenSPiltSPi 1.
Original languageEnglish
Pages (from-to)127-138
JournalJournal d'Analyse Mathematique
Volume134
Issue number1
DOIs
Publication statusPublished - 1 Feb 2018

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