On hyponormality on a weighted annulus
On hyponormality on a weighted annulus
Hyponormality on the annulus with a logarithmic weight is studied. Necessary conditions , which consist of derivative inequalities on the boundary of the annulus, are shown. A consequence on normality is deduced.
A result on commuting Toeplitz operators on the weighted harmonic Bergman space is shown and a sufficient condition for hyponormality on the punctured unit disk is also established.
Necessary conditions for hyponormality are shown, in the case of a weighted annulus with a radial logarithmic weight
when the symbol is a general harmonic function on the annulus
Hyponormality on the annulus with a logarithmic weight is studied. Necessary conditions , which consist of derivative inequalities on the boundary of the annulus, are shown. A consequence on…