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\((q;r)\)-Dominated holomorphic mappings

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Abstract

In this paper we introduce and explore the notion of \((q;r)\)-dominated homogeneous polynomials. Among other results, we show that this concept lead to an ideal of polynomials which is a global holomorphy type and thus we introduce a natural version of \(( q;r)\)-dominated holomorphic mappings.

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Authors and Affiliations

  1. University of M’sila, Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, 28000 , M’sila, Algeria

    D. Achour

  2. Centro de Ensino Superior do Seridó, Universidade Federal do Rio Grande do Norte, Rua Joaquim Gregório, S/N Penedo, Caicó, 59300-000, Brazil

    A. T. Bernardino

Authors
  1. D. Achour
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  2. A. T. Bernardino
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Correspondence to A. T. Bernardino.

Additional information

The first author was partially supported by MESRS. Project PNR 8-U28-181.

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Achour, D., Bernardino, A.T. \((q;r)\)-Dominated holomorphic mappings. Collect. Math. 65, 1–16 (2014). https://doi.org/10.1007/s13348-012-0073-0

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  • DOI: https://doi.org/10.1007/s13348-012-0073-0

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