Linear maps preserving inner functions

DOI10.4064/SM170724-13-12zbMATH Open1420.30016arXiv1902.05906OpenAlexW2890438852WikidataQ129295408 ScholiaQ129295408MaRDI QIDQ4963323

Javad Mashreghi, Thomas J. Ransford

Publication date: 1 November 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Abstract: We show that, for many holomorphic function spaces on the unit disk, a continuous endomorphism that sends inner functions to inner functions is necessarily a weighted composition operator.

Full work available at URL: https://arxiv.org/abs/1902.05906

zbMATH Keywords

composition operatorsinner functions

Mathematics Subject Classification ID

Linear composition operators (47B33) Inner functions of one complex variable (30J05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• A Primer on the Dirichlet Space

Related Items (1)

Linear Functionals Invariant Under Measure Preserving Transformations

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