Pseudo-uniform convexity in Hp and some extremal problems on Sobolev spaces

Bello, Manuel; Marcellán Español, Francisco José; Mínguez, Judit

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Pseudo-uniform convexity in Hp and some extremal problems on Sobolev spaces

Author(s): Bello, Manuel; Marcellán Español, Francisco José; Mínguez, Judit

Publisher: Taylor & Francis

Issued date: 2003-05

Citation: Complex Variables and Elliptic Equations, 2003, vol. 48, n. 5, p. 429-440

ISSN: 1747-6933

DOI: 10.1080/0278107031000097023

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

URI: http://hdl.handle.net/10016/6010

Rights: © Taylor & Francis

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. [+]