Cita:
Complex Variables and Elliptic Equations, 2003, vol. 48, n. 5, p. 429-440
ISSN:
1747-6933
DOI:
10.1080/0278107031000097023
Agradecimientos:
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.
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.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.[+][-]
Nota:
12 pages, no figures.-- MSC2000 codes: 32A35; 42C05.
