Abstract
The decomposition of L 2(\( \mathbb{D} \)) into Bergman and Bergman type spaces on the unit disk \( \mathbb{D} \) is studied. Connections between the Bergman and the Hardy spaces, as well as between the Bergman and Szegö projections are established.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Peng, R. Rochberg, and Z. Wu. Orthogonal polynomials and middle Hankel operators on Bergman spaces, Studio, Math., 102(l):57–75, 1992.
N. L. Vasilevski. On the structure of Bergman and poly-Bergman spaces, Integr. Equat. Oper. Th., 33:471–488, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Vasilevski, N. (2001). Bergman Type Spaces on the Unit Disk. In: Brackx, F., Chisholm, J.S.R., Souček, V. (eds) Clifford Analysis and Its Applications. NATO Science Series, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0862-4_34
Download citation
DOI: https://doi.org/10.1007/978-94-010-0862-4_34
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7045-1
Online ISBN: 978-94-010-0862-4
eBook Packages: Springer Book Archive