On basicity of systems of generalized Faber polynomials

• Autores: Bilal T. Bilalov, T. I. Najafov
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 5, Nº. 1, 2013, págs. 19-34
• Idioma: inglés
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• Resumen

  • In this paper a double system of generalized Faber polynomials with complex-valued coefficients is considered. Under certain conditions on the coefficients, the basicity of this system is proved in Lebesgue spaces Lp (Γ), 1 < p < +∞, where Γ is a Lyapunov or Radon curve on the complex plane. Besides, basicity of systems of generalized Faber polynomials is proved in Smirnov spaces Ep.