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Fock Spaces Connected with Spherical Mean Operator and Associated Operators

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Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract.

We define and study the Fock space associated with the spherical mean operator. Next, we establish some results for the Segal-Bergmann transform for this space. Lastly, we prove some properties concerning Toeplitz operators on this space.

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Authors and Affiliations

  1. Département de Mathématiques Appliquées, Institut Supérieur d’Informatique d’El Manar, 2 Rue Abou Rahan El Bayrouni, 2080, Ariana, Tunisia

    Cyrine Baccar

  2. Institut supérieur des systémes industriels de Gabés, Rue Slaheddine El Ayoubi, 6032, Gabés, Tunisia

    Slim Omri

  3. Département de Mathématiques, Faculté des Sciences de Tunis, 2092, El Manar II, Tunis, Tunisia

    Lakhdar T. Rachdi

Authors
  1. Cyrine Baccar
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  2. Slim Omri
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  3. Lakhdar T. Rachdi
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Corresponding author

Correspondence to Lakhdar T. Rachdi.

Additional information

Received: May 11, 2007. Revised: May 20, 2008. Accepted: May 23, 2008.

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Baccar, C., Omri, S. & Rachdi, L.T. Fock Spaces Connected with Spherical Mean Operator and Associated Operators. MedJM 6, 1–25 (2009). https://doi.org/10.1007/s00009-009-0164-7

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  • DOI: https://doi.org/10.1007/s00009-009-0164-7

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