If μ μ is a finite measure on the unit disc and k ⩾ 0 k⩾0 is an integer, we study a generalization derived from Engli\v{s}'s work, T ( k ) μ Tμ(k), of the traditional Toeplitz operators on the Bergman space \berg \berg, ...

In this paper we characterize the compact operators on the weighted Bergman spaces Ap α(Bn) when 1 <p< ∞ and α > −1. The main result shows that an operator on Ap α(Bn) is compact if and only if it belongs to the Toeplitz ...

Let A2 be the Bergman space on the unit disk. A bounded operator S on A2 is called radial if Szn = λnzn for all n 0, where λn is a bounded sequence of complex numbers. We characterize the eigenvalues of radial operators ...

Let Ap be the Bergman space on the unit ball Bn of Cn for 1 <p< ∞, and Tp be the corresponding Toeplitz algebra. We show that every S ∈ Tp can be approximated by operators that are specially suited for the study of local ...