Solid hulls of weighted Banach spaces of entire functions

Handle

https://riunet.upv.es/handle/10251/123859

Cita bibliográfica

Bonet Solves, JA.; Taskinen, J. (2018). Solid hulls of weighted Banach spaces of entire functions. Revista Matemática Iberoamericana. 34(2):593-608. https://doi.org/10.4171/RMI/996

Titulación

Resumen

[EN] 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.

Fuente

Revista Matemática Iberoamericana issn: 0213-2230

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