Solid hulls of weighted Banach spaces of entire functions

• José Bonet ^[2] ; Jari Taskinen ^[1]
  1. [1] University of Helsinki

     University of Helsinki

     Helsinki, Finlandia

     
  2. [2] Universidad Politecnia de Valencia
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 2, 2018, págs. 593-608
• Idioma: inglés
• DOI: 10.4171/RMI/996
• Texto completo no disponible (Saber más ...)
• Resumen

  • Given a continuous, radial, rapidly decreasing weight v on the complex plane, we study the solid hull of its associated weighted space H∞v(C) of all the entire functions f such that v|f| is bounded. The solid hull is found for a large class of weights satisfying the condition (B) of Lusky. Precise formulations are obtained for weights of the form v(r)= exp(−arp),a>0,p>0. Applications to spaces of multipliers are included.