PLB-spaces of holomorphic functions with logarithmic growth conditions

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Abstract

Countable projective limits of countable inductive limits, so-called PLB-spaces, of weighted Banach spaces of continuous functions have recently been investigated by Agethen, Bierstedt and Bonet. In a previous article, the author extended their investigation to the case of holomorphic functions and characterized when spaces over the unit disc w.r.t. weights of polynomial decay are ultrabornological or barrelled. In this note, we prove a similar characterization for the case of weights which tend to zero logarithmically.

Original languageEnglish
Pages (from-to)163-172
Number of pages10
JournalArchiv der Mathematik
Volume98
Issue number2
DOIs
Publication statusPublished - 1 Feb 2012

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