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Toeplitz operators over the paragrassmann unit disk

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Abstract

We construct a sesquilinear form on the paragrassmann super disk, this form turns out positive over the quantum Bergman space. For this quantum Bergman space we obtain the reproducing kernels and the corresponding projections. We define Toeplitz operators which are \(l\times l\) matrix such that their entries are Bergman-type operators over the unit disk.

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Authors and Affiliations

  1. Facultad de Matemáticas, Universidad Veracruzana, Lomas del Estadio S/N, 91000, Xalapa, Veracruz, Mexico

    Victor Pérez-García, Armando Sánchez-Nungaray & Martín Solis Pérez

Authors
  1. Victor Pérez-García
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  2. Armando Sánchez-Nungaray
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  3. Martín Solis Pérez
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Corresponding author

Correspondence to Armando Sánchez-Nungaray.

Additional information

To Sergei Grudsky on the occasion of his 60th birthday.

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Pérez-García, V., Sánchez-Nungaray, A. & Pérez, M.S. Toeplitz operators over the paragrassmann unit disk. Bol. Soc. Mat. Mex. 22, 625–644 (2016). https://doi.org/10.1007/s40590-016-0106-x

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  • DOI: https://doi.org/10.1007/s40590-016-0106-x

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