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Buckley, Stephen M., Kaskela, Pekka and Vukotić, Dragan (1999) Fractional integration, differentiation, and weighted Bergman spaces. Mathematical Proceedings of the Cambridge Philosophical Society, 126 (2). pp. 369-385. ISSN 1469-8064
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Abstract
We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coefficients of functions in certain subclasses of these spaces. We then derive several criteria for the multipliers between such spaces, complementing and extending various recent results. Univalent Bergman functions are also considered.
| Item Type: | Article |
|---|---|
| Keywords: | Fractional integration; Differentiation; Bergman spaces; Taylor coefficients; Hardy and Littlewood; Lacunary sequences. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1622 |
| Identification Number: | 10.1017/S030500419800334X |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 02 Nov 2009 11:40 |
| Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society |
| Publisher: | Cambridge University Press |
| Refereed: | Yes |
| Funders: | NSF Grant DMS 9207715, Forbairt, NSF Grant DMS 9305742, Academy of Finland |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1622 |
| 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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