Average radial integrability spaces of analytic functions

2020/02/27 by Aguilar-Hernandez, Tanausu, Contreras, Manuel D., Rodriguez-Piazza, Luis
#30H20 (Primary) #46E15 (Secondary) #47B33 (Primary) #47D06 (Primary) #47G10 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2002.12264

Abstract

In this paper we introduce the family of spaces RM(p,q), 1≤ p,q≤ +∞. They are spaces of holomorphic functions in the unit disc with average radial integrability. This family contains the classical Hardy spaces (when p=∞) and Bergman spaces (when p=q). We characterize the inclusion between RM(p₁,q₁) and RM(p₂,q₂) depending on the parameters. For 1

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