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Nevanlinna counting function and Carleson function of analytic maps

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Abstract

We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.

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Authors and Affiliations

  1. Univ Lille Nord de France, 59 000, Lille, France

    Pascal Lefèvre, Daniel Li & Hervé Queffélec

  2. U-Artois, Laboratoire de Mathématiques de Lens EA 2462, Fédération CNRS Nord-Pas-de-Calais FR 2956, 62 300, Lens, France

    Pascal Lefèvre & Daniel Li

  3. Faculté des Sciences Jean Perrin, Rue Jean Souvraz, S.P. 18, Lens, France

    Daniel Li

  4. USTL, Laboratoire Paul Painlevé U.M.R. CNRS 8524, 59 655, Villeneuve d’Ascq Cedex, France

    Hervé Queffélec

  5. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apartado de Correos 1160, 41 080, Sevilla, Spain

    Luis Rodríguez-Piazza

Authors
  1. Pascal Lefèvre
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  2. Daniel Li
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  3. Hervé Queffélec
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  4. Luis Rodríguez-Piazza
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Correspondence to Daniel Li.

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Lefèvre, P., Li, D., Queffélec, H. et al. Nevanlinna counting function and Carleson function of analytic maps. Math. Ann. 351, 305–326 (2011). https://doi.org/10.1007/s00208-010-0596-1

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  • DOI: https://doi.org/10.1007/s00208-010-0596-1

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