On hyponormality and a commuting property of Toeplitz operators

• Houcine Sadraoui ^[1] ; Borhen Halouani ^[1]
  1. [1] King Saud University

     King Saud University

     Arabia Saudí

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 67, Nº. 2, 2024, págs. 445-453
• Idioma: inglés
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• Resumen

  • 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.