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Average radial integrability spaces of analytic functions
- 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
- Subjects :
- Mathematics::Complex Variables
30H20 (Primary), 47B33 (Primary), 47D06 (Primary), 46E15 (Secondary), 47G10 (Secondary)
Holomorphic function
Mixed norm spaces
Hardy space
Characterization (mathematics)
Projection (linear algebra)
Functional Analysis (math.FA)
Separable space
Mathematics - Functional Analysis
Combinatorics
symbols.namesake
FOS: Mathematics
symbols
Radial integrability
Bergman projection
Unit (ring theory)
Analysis
Analytic function
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- idUS. Depósito de Investigación de la Universidad de Sevilla, instname
- Accession number :
- edsair.doi.dedup.....2248692a511081282e183b629fa3d91b