Treffer: Interpolation of several multiparametric approximation spaces
Title:
Interpolation of several multiparametric approximation spaces
Authors:
Source:
Journal of Approximation Theory. 129:182-206
Publisher Information:
Elsevier BV, 2004.
Publication Year:
2004
Subject Terms:
Mathematics(all), Numerical Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Applied Mathematics, Interpolation between normed linear spaces, Abstract interpolation of topological vector spaces, anisotropic Besov space, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, Analysis, interpolation of linear operators
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0021-9045
DOI:
10.1016/j.jat.2004.05.004
Access URL:
https://dblp.uni-trier.de/db/journals/jat/jat129.html#AsekritovaB04
http://www.diva-portal.org/smash/record.jsf?pid=diva2:714479
http://www.sciencedirect.com/science/article/pii/S0021904504000875
http://lnu.diva-portal.org/smash/record.jsf?pid=diva2:344839
https://core.ac.uk/display/82666837
https://dialnet.unirioja.es/servlet/articulo?codigo=949573
http://www.diva-portal.org/smash/record.jsf?pid=diva2:714479
http://www.sciencedirect.com/science/article/pii/S0021904504000875
http://lnu.diva-portal.org/smash/record.jsf?pid=diva2:344839
https://core.ac.uk/display/82666837
https://dialnet.unirioja.es/servlet/articulo?codigo=949573
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....577fabdd8cb6b9c6d44e1937cd55a58f
Database:
OpenAIRE
Weitere Informationen
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.