Artículo
Average radial integrability spaces of analytic functions
Autor/es | Aguilar-Hernández, Tanausú
Contreras Márquez, Manuel Domingo Rodríguez Piazza, Luis |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2022 |
Fecha de depósito | 2022-01-10 |
Publicado en |
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Resumen | 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 ... 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 < p, q < ∞, our main result provides a characterization of the dual spaces of RM(p, q) by means of the boundedness of the Bergman projection. We show that RM(p, q) is separable if and only if q < +∞. In fact, we provide a method to build isomorphic copies of ∞ in RM(p, ∞). |
Identificador del proyecto | PGC2018-094215-B-100
FQM133 FQM133 |
Cita | Aguilar-Hernández, T., Contreras Márquez, M.D. y Rodríguez Piazza, L. (2022). Average radial integrability spaces of analytic functions. Journal of Functional Analysis, 282 (1), Article number 109262. |
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