Some results for Toeplitz operators on the Bergman space
APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.789-793, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 218 Sayı: 3
- Basım Tarihi: 2011
- Doi Numarası: 10.1016/j.amc.2011.01.069
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.789-793
- Anahtar Kelimeler: Bergman space, Toeplitz operator, Berezin symbol, Hankel operator, Harmonic function, Reproducing kernel
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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.