Calderón couples of Lipschitz spaces
type: Item
instance of: scholarly article
title: Calderón couples of Lipschitz spaces
zbMATH Open document ID: 0827.46060
author: Alexander Shteinberg
author: Yuri A. Brudnyi
published in: Journal of Functional Analysis
publication date: 1995-12-17T00:00:00Z
review text: Two real interpolation functors \(F_0\), \(F_1\) are said to form a \(C\)-pair if \((F_0 (\overline {X}), F_1 (\overline {X}))\) is a Calderón couple for every Banach couple \(\overline {X}\). The authors give a necessary condition for \(F_0\) and \(F_1\) to form a \(C\)-pair in terms of the fundamental functions of these functors. This condition turns out to be sufficient for the functors defined by weighted \(L_p\)- parameters. As a corollary they give a complete description of all Calderón couples of Lipschitz spaces. Some new results are also obtained for couples of Lorentz spaces.
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46B70
zbMATH DE Number: 790371
zbMATH Keywords: real interpolation functors
zbMATH Keywords: \(C\)-pair
zbMATH Keywords: Calderón couple
zbMATH Keywords: weighted \(L_ p\)-parameters
zbMATH Keywords: couples of Lorentz spaces
MaRDI profile type: Publication
full work available at URL: jfan.1995.1096
OpenAlex ID: W2095476146
DOI: 10.1006/JFAN.1995.1096
description: scientific article; zbMATH DE number 790371