Frostman shifts of inner functions

Raymond Mortini, Artur Nicolau

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)

Abstract

In this paper we study the class M of all inner functions whose non-zero Frostman shifts are Carleson-Newman Blaschke products. We present several geometric, measure theoretic and analytic characterizations of M in terms of level sets, distribution of zeros, and behaviour of pseudohyperbolic derivatives and observe that M is the set of all functions in H∞ whose range on the set of trivial points in the maximal ideal space is ∂double struck D sign ∪ {0}.
Original languageEnglish
Pages (from-to)285-326
JournalJournal d'Analyse Mathematique
Volume92
DOIs
Publication statusPublished - 1 Jan 2004

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