APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.789-793, 2011 (SCI-Expanded)
Article / Article
APPLIED MATHEMATICS AND COMPUTATION
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Bergman space, Toeplitz operator, Berezin symbol, Hankel operator, Harmonic function, Reproducing kernel
Süleyman Demirel University Affiliated:
We consider the Toeplitz operators on the Bergman space L(a)(2)(D) on the unit disc D. In terms of reproducing kernels the invariant subspaces of Bergman space Toeplitz operator is studied. We also investigate invertibility of Toeplitz operators in terms of Berezin symbols. Moreover, the Hankel operators and Berezin symbols are used to characterize compactness of operators 2T(phi psi) - T(phi)T(psi) - T(psi)T(phi) for bounded harmonic functions phi and psi. (C) 2011 Elsevier Inc. All rights reserved.