The Integral Weight and Superposition Operators Between Bloch-Type Spaces

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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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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Keywords

  • Bloch-type spaces
  • Superposition operator
  • Entire function

Mathematics Subject Classification

  • 47H30
  • 30D45
  • 30H05