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On the growth and range of functions in Möbius invariant spaces

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Abstract

This paper is a continuation of our earlier work and focuses on the structural and geometric properties of functions in analytic Besov spaces, primarily on univalent functions in such spaces and their image domains. We improve several earlier results.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain

    Juan Jesús Donaire

  2. Departamento de Análisis Matemático, Universidad de Málaga Campus de Teatinos, 29071, Málaga, Spain

    Daniel Girela

  3. Departamento de Matemáticas and ICMAT CSIC-UAM-UC3M-UCM Edificio de Ciencias, Universidad Autónoma de Madrid, Módulo 17, 28049, Madrid, Spain

    Dragan Vukotić

Authors
  1. Juan Jesús Donaire
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  2. Daniel Girela
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  3. Dragan Vukotić
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Corresponding author

Correspondence to Juan Jesús Donaire.

Additional information

The authors thankfully acknowledge partial support from the following grants. The first author: MTM2008-05561-C02-02 (MICINN) and 2009 SGR 420 (Generalitat de Catalunya). The second author: MTM2007-60854 (MICINN) and FQM-210 and P09-FQM-4468 (Junta de Andalucía). The third author: MTM2009-14694-C02-01 (MICINN). All authors were also partially supported byMTM2008-02829-E (Acciones Complementarias) and Ingenio Mathematica (i-MATH) CSD2006-00032 from MICINN, Spain, and by the Thematic Network “Harmonic and Complex Analysis and Its Applications” (European Networking Programme, ESF).

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Donaire, J.J., Girela, D. & Vukotić, D. On the growth and range of functions in Möbius invariant spaces. JAMA 112, 237–260 (2010). https://doi.org/10.1007/s11854-010-0029-9

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  • DOI: https://doi.org/10.1007/s11854-010-0029-9

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