Estimates of generalized Nevanlinna counting function and applications to composition operators

• Z. Bendaoud ^[1] ; F. Korrichi ^[2] ; L. Merghni ^[3] ; A. Yagoub ^[1]
  1. [1] Université de Amar telidji Laghouat. Algérie
  2. [2] Université de M. Khider. Algérie
  3. [3] Aix Marseille Université. France

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• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 30, Nº 2, 2015, págs. 221-234
• Idioma: inglés
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• Resumen

  • 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.