Estimates of Generalized Nevanlinna Counting Function and Applications to Composition Operators

Authors

  • Z. Bendaoud Laboratoire de Mathematiques Pures et Appliques, Universite de Amar telidji Laghouat
  • F. Korrichi Université de M. Khider, Biskra,
  • L. Merghni Aix Marseille Université, CNRS, Centrale Marseille
  • A. Yagoub Laboratoire de Mathématiques Pures et Appliqués, Université de Amar telidji Laghouat

DOI:

https://doi.org/10.17398/

Keywords:

Generalized Nevanlinna counting function, Dirichlet spaces, composition operators, Hilbert-Schmidt operators

Abstract

Let φ be a holomorphic self-map of the unit disc. We study the relationship between the generalized Nevanlinna counting function associated with φ and the norms of φn in the Dirichlet spaces. We give examples of Hilbert-Schmidt composition operators on the Dirichlet spaces.

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References

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Published

2023-12-21

Issue

Section

Operator Theory

How to Cite

Estimates of Generalized Nevanlinna Counting Function and Applications to Composition Operators. (2023). Extracta Mathematicae, 30(2), 221-234. https://doi.org/10.17398/