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On Toeplitz operators with quasihomogeneous symbols

Archiv der Mathematik volume 85, pages 248–257 (2005)Cite this article

Abstract.

In this paper, we give some basic results concerning Toeplitz operators whose symbol is of the form eip θϕ, where ϕ is a radial function, then use these results to characterize all Toeplitz operators which commute with them.

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Authors and Affiliations

  1. UFR de Mathématiques Informatiques, Université Bordeaux I, 351 cours de la libération, F-33405, Talence Cedex, France

    Issam Louhichi

  2. High Institute of Technology, 201 Diego-Suarez, Madagascar

    Lova Zakariasy

Authors
  1. Issam Louhichi
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  2. Lova Zakariasy
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Correspondence to Issam Louhichi.

Additional information

Received: 12 June 2004; revised: 27 January 2005

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Cite this article

Louhichi, I., Zakariasy, L. On Toeplitz operators with quasihomogeneous symbols. Arch. Math. 85, 248–257 (2005). https://doi.org/10.1007/s00013-005-1198-0

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  • DOI: https://doi.org/10.1007/s00013-005-1198-0

Mathematics Subject Classification (1991).

  • Primary 47B35
  • Secondary 47L80