A Theorem of Nehari Type on Weighted Bergman Spaces of the Unit Ball
This paper shows that if S is a bounded linear operator acting on the weighted Bergman spaces Aα2 on the unit ball in ℂn such that STzi=Tz¯iS (i=1,…,n), where Tzi=zif and Tz¯i=P(z¯if); and where P is the weighted Bergman projection, then S must be a Hankel operator.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2008-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2008/538573 |