Schatten class Toeplitz operators on weighted Bergman spaces of the unit ball.
Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains
We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.
Separately radial and radial Toeplitz operators on the projective space and representation theory
We consider separately radial (with corresponding group ) and radial (with corresponding group symbols on the projective space , as well as the associated Toeplitz operators on the weighted Bergman spaces. It is known that the -algebras generated by each family of such Toeplitz operators are commutative (see R. Quiroga-Barranco and A. Sanchez-Nungaray (2011)). We present a new representation theoretic proof of such commutativity. Our method is easier and more enlightening as it shows that the...
Special Toeplitz operators on strongly pseudoconvex domains.
Toeplitz operators on strongly pseudoconvex domains in Cn, constructed from the Bergman projection and with symbol equal to a positive power of the distance to the boundary, are considered. The mapping properties of these operators on Lp, as the power of the distance varies, are established.
Spectral theory of Toeplitz and Hankel operators on the Bergman space .
Sums of Toeplitz products with harmonic symbols.