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Journal of Function Spaces and ApplicationsVolume 2013 2013, Article ID 628031, 11 pages

Research Article

Faculty Mathematics and Computer Science, St. Louis University Madrid Campus, Avenida del Valle 34, 28003 Madrid, Spain

Departamento de Matemáticas Puras y Aplicadas, Edificio Matemáticas y Sistemas MYS, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080 A, Venezuela

Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés, 28911 Madrid, Spain

Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain

Received 28 January 2013; Accepted 8 March 2013

Academic Editor: Józef Banaś

Copyright © 2013 Ana Portilla et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let ℙ be the space of polynomials with complex coefficients endowed with a nondiagonalSobolev norm , where the matrix and the measure constitute a -admissible pair for. In this paper we establish the zero location and asymptotic behavior of extremal polynomialsassociated to , stating hypothesis on the matrix rather than on the diagonal matrix appearing in its unitary factorization.





Autor: Ana Portilla, Yamilet Quintana, José M. Rodríguez, and Eva Tourís

Fuente: https://www.hindawi.com/



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