Interpolation of several multiparametric approximation spaces
type: Item
instance of: scholarly article
title: Interpolation of several multiparametric approximation spaces
zbMATH Open document ID: 1096.41025
published in: Journal of Approximation Theory
publication date: 2004-10-28T00:00:00Z
review text: The main objective of the paper is a general interpolation theorem for a finite family of approximation spaces determined by multiparametric approximation families. Typical examples of such spaces are ``mixed'' \(L_p\)-spaces with \(p=(p_1,\dots,p_d)\), anisotropic Sobolev and Besov spaces and spaces defined by a ``dominated'' set of mixed derivatives or differences.
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 2111899
zbMATH Keywords: interpolation of linear operators
zbMATH Keywords: anisotropic Besov space
author: Irina Asekritova
author: Yuri A. Brudnyi
reviewed by: Yuri A. Brudnyi
MaRDI profile type: Publication
full work available at URL: j.jat.2004.05.004
OpenAlex ID: W1968264005
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DOI: 10.1016/J.JAT.2004.05.004
description: scientific article; zbMATH DE number 2111899