Limiting \(J\)-spaces for general couples
type: Item
instance of: scholarly article
title: Limiting \(J\)-spaces for general couples
zbMATH Open document ID: 1274.46056
DOI: 10.4171/ZAA/1475
author: Luz M. Fernández-Cabrera
author: Pilar Silvestre
author: Fernando Cobos
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2013-03-11T00:00:00Z
review text: The authors study the relation between \(J\) and \(K\) interpolation spaces in limiting cases. For example, for a Banach couple \((A_0,A_1)\) they consider the \(J\) interpolation space \((A_0,A_1)_{f,q}\), \(1\leq q\leq\infty,\) where the function parameter \(f\) is \(t^{\theta_0}\) for \(0<t<1\) and it is \(t^{\theta_1}\) for \(t>1,\) \(0\leq\theta_0, \theta_1\leq 1.\) This space in the limiting case \(\theta_1=0\), \(0<\theta_0<1\) is characterized as \(K\) interpolation space. Some applications are also given.
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 6143107
zbMATH Keywords: limiting interpolation spaces
reviewed by: Georgi E. Karadzhov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/1475
OpenAlex ID: W1973976467
description: scientific article; zbMATH DE number 6143107