Closed ideals in analytic weighted Lipschitz algebras

• Autores: Brahim Bouya
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 5, 2008, págs. 1446-1468
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.06.022
• Texto completo no disponible (Saber más ...)
• Resumen

  • We obtain a complete description of closed ideals in weighted Lipschitz algebras ?? of analytic functions on the unit disk satisfying the following condition where ? is a modulus of continuity satisfying some regularity conditions. In particular the closed ideals of the algebras ??a, where , a>0, are standard and this answers Shirokov's question [N.A. Shirokov, Closed ideals of algebras of -type, Izv. Akad. Nauk SSSR Mat. 46 (6) (1982) 1316�1333 (in Russian), p. 587].