Embedding functions and their role in interpolation theory
type: Item
instance of: scholarly article
title: Embedding functions and their role in interpolation theory
zbMATH Open document ID: 0943.46009
DOI: 10.1155/S1085337596000164
author: Evgeniy Pustylnik
published in: Abstract and Applied Analysis
publication date: 2000-08-28T00:00:00Z
full work available at URL: https://eudml.org/doc/48504
full work available at URL: issue-3.html
review text: The embedding functions of an intermediate space \(A\) into a Banach couple \((A_{0},A_{1})\) are defined as its embedding constants into the couples \((\frac{1}{\alpha}A_{0},\frac{1}{\beta}A_{1}),\) for all \(\alpha,\beta>0.\) Using these functions, properties of different intermediate spaces are studied and a new description is given of all real interpolation spaces and an extension of Krein-Semenov's interpolation theorem is obtained. The precise statements are to technical to be given here. My opinion is that this paper is interesting for those who are working in interpolation theory.
reviewed by: Nicolae Popa
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 1370662
zbMATH Keywords: embedding
zbMATH Keywords: interpolation
zbMATH Keywords: \(K\)-space
zbMATH Keywords: operator of weak type
zbMATH Keywords: real interpolation spaces
zbMATH Keywords: Krein-Semenov interpolation theorem
MaRDI profile type: Publication
OpenAlex ID: W2054577143
description: scientific article; zbMATH DE number 1370662