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Average radial integrability spaces of analytic functions

Authors :
Manuel D. Contreras
Luis Rodríguez-Piazza
Tanausú Aguilar-Hernández
Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)
Universidad de Sevilla. Departamento de Análisis Matemático
Source :
idUS. Depósito de Investigación de la Universidad de Sevilla, instname
Publication Year :
2022
Publisher :
Academic Press Inc., 2022.

Abstract

In this paper we introduce the family of spaces $RM(p,q)$, $1\leq p,q\leq +\infty$. They are spaces of holomorphic functions in the unit disc with average radial integrability. This family contains the classical Hardy spaces (when $p=\infty$) and Bergman spaces (when $p=q$). We characterize the inclusion between $RM(p_1,q_1)$ and $RM(p_2,q_2)$ depending on the parameters. For $1<br />Comment: 31 pages

Details

Language :
English
Database :
OpenAIRE
Journal :
idUS. Depósito de Investigación de la Universidad de Sevilla, instname
Accession number :
edsair.doi.dedup.....2248692a511081282e183b629fa3d91b