Inner functions with derivatives in the weak hardy space

Joseph A. Cima, Artur Nicolau

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

© 2014 American Mathematical Society. It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. As a consequence, it is shown that exponential Blaschke products are Frostman shift invariant. Exponential Blaschke products are described in terms of their logarithmic means and also in terms of the behavior of the derivatives of functions in the corresponding model space.
Original languageEnglish
Pages (from-to)581-594
JournalProceedings of the American Mathematical Society
Volume143
Issue number2
DOIs
Publication statusPublished - 1 Jan 2015

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