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Composition operators on µ-Bloch type spaces

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Abstract

We characterize boundedness, closedness of the range and compactness for composition operators acting on µ-Bloch spaces, where µ is a positive continuous function defined on the interval 0 < t ≤ 1, that satisfy certain holomorphic extension properties. This extends results that appear in [15],[17],[8],[3].

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes, Mérida, Venezuela

    José Giménez

  2. Departamento de Matemáticas, Universidad de Oriente, 6101 Cumaná, Edo. Sucre, Venezuela

    Renny Malavé & Julio C. Ramos Fernández

Authors
  1. José Giménez
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  2. Renny Malavé
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  3. Julio C. Ramos Fernández
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Corresponding author

Correspondence to Julio C. Ramos Fernández.

Additional information

The first author has been partially supported by C. D. C. H. T., Universidad de Los Andes, project C-1280-04-05-B.

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Giménez, J., Malavé, R. & Ramos Fernández, J.C. Composition operators on µ-Bloch type spaces. Rend. Circ. Mat. Palermo 59, 107–119 (2010). https://doi.org/10.1007/s12215-010-0007-1

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  • DOI: https://doi.org/10.1007/s12215-010-0007-1

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