Exact descriptions of some \(K\) and \(E\) functionals
type: Item
instance of: scholarly article
title: Exact descriptions of some \(K\) and \(E\) functionals
zbMATH Open document ID: 0885.46016
author: Stefan Ericsson
published in: Journal of Approximation Theory
publication date: 1998-05-04T00:00:00Z
review text: If \(f^*\) is the rearrangement function of \(f\), then one has for Peetre's \(K\)-functional \[ K(t, f,L_1,L_\infty)= \int^t_0 f^*(s)ds \] for the interpolation couple \(\{L_1,L_\infty\}\). It is the main aim of the paper to calculate \(K(t, f,L_{p,q}, L_\infty)\), more general \(K(t, f, X,L_\infty)\), where \(X\) is a quasi-normed function lattice, and \(K(t, f,L_{p/q,1}, L_{p,q})\).
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 1042514
zbMATH Keywords: \(E\)- functionals
zbMATH Keywords: rearrangement function
zbMATH Keywords: Peetre's \(K\)-functional
zbMATH Keywords: interpolation couple
zbMATH Keywords: quasi-normed function lattice
reviewed by: Hans Triebel
MaRDI profile type: Publication
full work available at URL: jath.1996.3066
OpenAlex ID: W2132570275
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DOI: 10.1006/JATH.1996.3066
description: scientific article; zbMATH DE number 1042514