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The Integral Weight and Superposition Operators Between Bloch-Type Spaces

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Abstract

Using the notion of the integral weight, we characterize all entire functions that transform a Bloch-type space \({\mathcal {B}}^{\mu _1}\) into another space of the same kind \({\mathcal {B}}^{\mu _2}\) by superposition for very general weights \(\mu _1\) and \(\mu _2\), satisfying a growth condition.

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Acknowledgements

The authors wish to express their sincere gratitude to the anonymous referee for his/her useful comments.

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Authors and Affiliations

  1. Departamento de Matemática, Universidad de Oriente, Cumaná, 6101, Edo. Sucre, Venezuela

    Renny J. Malavé-Malavé

  2. Proyecto Curricular de Matemáticas, Facultad de Ciencias y Educación, Universidad Distrital Francisco José de Caldas, Carrera 3 No. 26A-40, Bogotá, Colombia

    Julio C. Ramos-Fernández

Authors
  1. Renny J. Malavé-Malavé
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  2. Julio C. Ramos-Fernández
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Correspondence to Julio C. Ramos-Fernández.

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Communicated by Dr. Saminathan Ponnusamy.

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Malavé-Malavé, R.J., Ramos-Fernández, J.C. The Integral Weight and Superposition Operators Between Bloch-Type Spaces. Bull. Malays. Math. Sci. Soc. 43, 3035–3047 (2020). https://doi.org/10.1007/s40840-019-00853-2

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  • DOI: https://doi.org/10.1007/s40840-019-00853-2

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