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The Integral Weight and Superposition Operators Between Bloch-Type Spaces

  • Renny J. Malavé-Malavé
  • Julio C. Ramos-FernándezEmail author
Article
  • 28 Downloads

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.

Keywords

Bloch-type spaces Superposition operator Entire function 

Mathematics Subject Classification

47H30 30D45 30H05 

Notes

Acknowledgements

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

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2019

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidad de OrienteCumanáVenezuela
  2. 2.Proyecto Curricular de Matemáticas, Facultad de Ciencias y EducaciónUniversidad Distrital Francisco José de CaldasBogotáColombia

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