Resumen de Solid hulls of weighted Banach spaces of entire functions

José Antonio Bonet Solves , Jari Taskinen

• 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.