On hyponormality and a commuting property of Toeplitz operators

Authors

  • Houcine Sadraoui Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi Arabia https://orcid.org/0000-0003-1965-594X
  • Borhen Halouani Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455 Riyadh 11451, Saudi Arabia https://orcid.org/0000-0001-9566-7235

DOI:

https://doi.org/10.33044/revuma.3555

Abstract

In this work we give sufficient conditions for hyponormality of Toeplitz operators on a weighted Bergman space when the analytic part of the symbol is a monomial and the conjugate part is a polynomial. We also extend a known commuting property of Toeplitz operators with a harmonic symbol on the Bergman space to weighted Bergman spaces.

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References

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Published

2024-09-16

Issue

Vol. 67 No. 2 (2024)

Section

Article

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Copyright (c) 2024 Houcine Sadraoui, Borhen Halouani

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