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Invariant Subspaces, Quasi-invariant Subspaces, and Hankel Operators

✍ Scribed by Kunyu Guo; Dechao Zheng

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 210 KB
Volume: 187
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3820

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✦ Synopsis

In this paper, using the theory of Hilbert modules we study invariant subspaces of the Bergman spaces on bounded symmetric domains and quasi-invariant subspaces of the Segal-Bargmann spaces. We completely characterize small Hankel operators with finite rank on these spaces.

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