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

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URI: https://hdl.handle.net/10016/6010
ISSN: 1747-6933
DOI: 10.1080/0278107031000097023
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pseudouniform_marcellan_cv_2003_ps.pdf (346.39 KB)
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2003-05
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Taylor & Francis
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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.
Description
12 pages, no figures.-- MSC2000 codes: 32A35; 42C05.
MR#: MR1974380 (2004e:30074)
Zbl#: Zbl 1173.30321
Keywords
Hp-space, Orthogonal polynomials
Bibliographic citation
Complex Variables and Elliptic Equations, 2003, vol. 48, n. 5, p. 429-440
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