Truncation methods applied to problems of weak or strong convergence in \(L^ 1\)
type: Item
instance of: scholarly article
title: Truncation methods applied to problems of weak or strong convergence in \(L^ 1\)
zbMATH Open document ID: 0778.46016
DOI: 10.1007/BF00387764
published in: Archive for Rational Mechanics and Analysis
publication date: 1992-09-27T00:00:00Z
review text: This paper investigates the weak or strong convergence of sequences in the space \(L^ 1(\Omega,\mu;E)\). The theory of Young measure is often used in this study but other methods, based on truncation, are employed in the present paper. The methods allow results made under stringent compactness assumptions to be extended to certain subsets of \(L^ 1\) such as `compactly uniformly integrable' or subsets defined in terms of `tightness'.
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46E40
Mathematics Subject Classification ID: 28A20
zbMATH DE Number: 60700
zbMATH Keywords: compactly uniformly integrable
zbMATH Keywords: tightness
zbMATH Keywords: weak or strong convergence of sequences in the space \(L^ 1(\Omega,\mu
zbMATH Keywords: E)\)
zbMATH Keywords: Young measure
zbMATH Keywords: compactness assumptions
author: Allal Amrani
author: C. Castaing
author: Michel Valadier
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 60700