Composition operators between weighted banach spaces of analytic functions

J. Bonet*, P. Domański, M. Lindström, J. Taskinen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

125 Citations (Scopus)

Abstract

We characterize those analytic self-maps φ of the unit disc which generate bounded or compact composition operators Cφ between given weighted Banach spaces Hv or H0v of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights v.

Original languageEnglish
Pages (from-to)101-118
Number of pages18
JournalJournal of the Australian Mathematical Society
Volume64
Issue number1
DOIs
Publication statusPublished - Feb 1998
MoE publication typeA1 Journal article-refereed

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