Operator identities for standard weighted Bergman shift and Toeplitz operators
Författare
Summary, in English
We prove an operator identity for the shift operator in the scale of standard weighted Bergman spaces in the unit disc. This operator identity is then applied in the context of functional calculus for the shift operator and a characterization of harmonic symbol Bergman space Toeplitz operators is obtained generalizing an earlier result by Louhichi and Olofsson. Duality arguments lead to operator inequalities and structure formulas for reproducing kernel functions which make contact with work of Richter, Shimorin, and others.
Avdelning/ar
Publiceringsår
2013
Språk
Engelska
Sidor
451-475
Publikation/Tidskrift/Serie
Journal of Operator Theory
Volym
70
Issue
2
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
Theta Foundation
Ämne
- Mathematics
Status
Inpress
ISBN/ISSN/Övrigt
- ISSN: 0379-4024