Hankel operators on the Bergman space of the unit ball
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- by Maria Nowak PDF
- Proc. Amer. Math. Soc. 126 (1998), 2005-2012 Request permission
Abstract:
We characterize the bounded holomorphic functions $f, g$ in the unit ball of $\mathbb {C}^{n}$ for which the operator $H^{*}_{\bar g} H_{\bar f}$ is compact. For $n=1$ the result was obtained by Axler and Gorkin in 1988 and by Zheng in 1989.References
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Additional Information
- Maria Nowak
- Affiliation: Instytut Matematyki UMCS , pl. Marii Curie-Skłodowskiej 1,20-031 Lublin, Poland
- Email: nowakm@golem.umcs.lublin.pl
- Received by editor(s): December 6, 1995
- Received by editor(s) in revised form: December 10, 1996
- Additional Notes: This work was supported in part by KBN grant No. 2 PO3A- 002-08.
- Communicated by: Theodore W. Gamelin
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2005-2012
- MSC (1991): Primary 30H05, 47B38
- DOI: https://doi.org/10.1090/S0002-9939-98-04252-X
- MathSciNet review: 1443848