Complex interpolation of spaces of integrable functions with respect to a vector measure
type: Item
instance of: scholarly article
title: Complex interpolation of spaces of integrable functions with respect to a vector measure
zbMATH Open document ID: 1228.46017
DOI: 10.1007/BF03191230
author: Antonio Fernández
author: Fernando Mayoral
author: Francisco Naranjo
author: E. A. Sánchez-Pérez
published in: Collectanea Mathematica
publication date: 2011-08-16T00:00:00Z
review text: A vector measure \(m\) with values in a complex Banach space \(X\) is considered. The authors prove the interesting fact that the Calderón interpolation space \([L^{p_0}(m),L^{p_1}(m)]^{[\theta]}=L_{w}^{p(\theta)}(m).\) It is in my opinion a rather unusual result.
reviewed by: Nicolae Popa
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46G10
zbMATH DE Number: 5939717
zbMATH Keywords: interpolation space
zbMATH Keywords: Banach function space
zbMATH Keywords: vector measure
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03191230
OpenAlex ID: W2069286926
description: scientific article; zbMATH DE number 5939717