Kerr, R. (2010) Products of Toeplitz Operators on a Vector Valued Bergman Space. Integral Equations and Operator Theory, 66(3), pp. 367-395. (doi: 10.1007/s00020-010-1756-0)
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Publisher's URL: http://dx.doi.org/10.1007/s00020-010-1756-0
Abstract
We give a necessary and a sufficient condition for the boundedness of the Toeplitz product TFTG* on the vector valued Bergman space L-a(2)(C-n), where F and G are matrix symbols with scalar valued Bergman space entries. The results generalize those in the scalar valued Bergman space case [13]. We also characterize boundedness and invertibility of Toeplitz products TFTG* in terms of the Berezin transform, generalizing results found by Zheng and Stroethoff for the scalar valued Bergman space
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | UNSPECIFIED |
| Authors: | Kerr, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Integral Equations and Operator Theory |
| ISSN: | 0378-620X |
| Published Online: | 01 March 2010 |
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