Resumen de On hyponormality and a commuting property of Toeplitz operators

Houcine Sadraoui, Borhen Halouani

• 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.