Interpolation of intersections of \(L_ p\) spaces
type: Item
instance of: scholarly article
title: Interpolation of intersections of \(L_ p\) spaces
zbMATH Open document ID: 0618.46060
DOI: 10.1007/BF01313494
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: Let \(0<p_ 1,p_ 2,p_ 3,p_ 4,q\leq \infty\) and \(0<\theta <1\). The interpolation spaces \([L_{p_ 1}\cap L_{p_ 2},L_{p_ 3}\cap L_{p_ 4}]_{\theta,q}\) are identified. Some results are also proved on interpolating intersections of Lorentz spaces. As an application a moment inequality is proved for sums of independent random variables in \(L_{p,q}\).
Mathematics Subject Classification ID: 46M35
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 4002840
zbMATH Keywords: interpolation spaces
zbMATH Keywords: interpolating intersections of Lorentz spaces
zbMATH Keywords: moment inequality
author: S. J. Dilworth
MaRDI profile type: Publication
cites work: Equidistributed random variables in \(L_{p,q}\)
cites work: Interpolation of Quasi-Normed Spaces.
cites work: Compact and strictly singular operators on certain function spaces
cites work: Q5546246
cites work: Zur Interpolation von Operatorenräumen. (The interpolation of operator spaces)
cites work: Über den Durchschnitt von Interpolationsräumen
cites work: On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
description: scientific article; zbMATH DE number 4002840