Hyponormality On General Bergman Spaces

Abstract

A bounded operator T on a Hilbert space is hyponormal if T*T -
TT* is positive. We give a necessary condition for the hyponormality
of Toeplitz operators on weighted Bergman spaces, for a certain class of
radial weights, when the symbol is of the form f +{conj g },where both functions
are analytic and bounded on the unit disk. We give a sufficient condition
when f is a monomial.