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http://hdl.handle.net/10016/6010
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| Title: | Pseudo-uniform convexity in Hp and some extremal problems on Sobolev spaces |
| Author(s): | Bello, Manuel
Marcellán, Francisco
Mínguez, Judit |
| Publisher: | Taylor & Francis |
| Issued date: | May-2003 |
| Citation: | Complex Variables and Elliptic Equations, 2003, vol. 48, n. 5, p. 429-440 |
| URI: | http://hdl.handle.net/10016/6010 |
| ISSN: | 1747-6933 |
| DOI: | 10.1080/0278107031000097023 |
| Description: | 12 pages, no figures.-- MSC2000 codes: 32A35; 42C05.
MR#: MR1974380 (2004e:30074)
Zbl#: Zbl 1173.30321 |
| Abstract: | We extend Newman and Keldysh theorems to the behavior of sequences of functions in Hp(μ) which explain geometric properties of discs in these spaces. Through Keldysh's theorem we obtain asymptotic results for extremal polynomials in Sobolev spaces. |
| Sponsor: | The work of Bello Hernández and Mínguez Ceniceros has been supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grant BFM2000-0206-C04-03. The work of Marcellán has been supported by Dirección General de Investigación (Ministerio de Ciencia y Technología) of Spain under grant BMF 2000-0206-C04-01 and INTAS 2000-272. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1080/0278107031000097023 |
| Keywords: | Hp-space
Orthogonal polynomials |
| Rights: | © Taylor & Francis |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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