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Products of Unbounded Bloch Functions

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Operator Theory, Functional Analysis and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 282))

Abstract

We give new constructions of pair of functions (f, g), analytic in the unit disc, with g ∈ H ∞ and f an unbounded Bloch function, such that the product g ⋅ f is not a Bloch function.

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Acknowledgements

I wish to thank the referees for their careful reading of the article and for their suggestions to improve it.

This research is supported in part by a grant from “El Ministerio de Economía y Competitividad”, Spain (PGC2018-096166-B-I00) and by grants from la Junta de Andalucía (FQM-210 and UMA18-FEDERJA-002).

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Authors and Affiliations

  1. Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain

    Daniel Girela

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  1. Daniel Girela
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Correspondence to Daniel Girela .

Editor information

Editors and Affiliations

  1. Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    M. Amélia Bastos

  2. Departamento de Matemática, Universidade de Aveiro, Aveiro, Portugal

    Luís Castro

  3. Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Lisboa, Portugal

    Alexei Yu. Karlovich

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Girela, D. (2021). Products of Unbounded Bloch Functions. In: Bastos, M.A., Castro, L., Karlovich, A.Y. (eds) Operator Theory, Functional Analysis and Applications. Operator Theory: Advances and Applications, vol 282. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-51945-2_14

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