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Buckley, Stephen M. and Vukotić, Dragan (2008) Univalent interpolation on Besov spaces and superposition into Bergman spaces. Potential Analysis, 29 (1). pp. 1-16. ISSN 1572-929X
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Abstract
We characterize the superposition operators from an analytic Besov space or the little Bloch space into a Bergman space in terms of the order and type of the symbol. We also determine when these operators are continuous or bounded. Along the way, we prove new non-centered Trudinger-Moser inequalities and solve the problem of interpolation by univalent functions in analytic Besov spaces.
| Item Type: | Article |
|---|---|
| Keywords: | Superposition operator; Trudinger–Moser inequalities; Analytic Besov spaces; Bergman spaces; Little Bloch space; Montel compactness; Univalent interpolation; Entire functions. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1575 |
| Identification Number: | 10.1007/s11118-008-9081-9 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 13 Oct 2009 10:09 |
| Journal or Publication Title: | Potential Analysis |
| Publisher: | Springer Netherlands |
| Refereed: | No |
| Related URLs: | |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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