Hostname: page-component-848d4c4894-wg55d Total loading time: 0 Render date: 2024-05-28T17:21:18.343Z Has data issue: false hasContentIssue false

ABSTRACT AND CONCRETE LOGARITHMIC INTERPOLATION SPACES

Published online by Cambridge University Press:  23 July 2004

FERNANDO COBOS
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spaincobos@mat.ucm.es
LUZ M. FERNÁNDEZ-CABRERA
Affiliation:
Departamento de Matemática Aplicada, Escuela de Estadística, Universidad Complutense de Madrid, 28040 Madrid, Spainluz_fernandez-c@mat.ucm.es
HANS TRIEBEL
Affiliation:
Mathematisches Institut, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 1–4, 07743 Jena, Germanytriebel@minet.uni-jena.de
Get access

Abstract

A procedure is given to reduce the interpolation spaces on an ordered pair generated by the function parameter $t^{\theta}(1+|\hspace{-2pt}\log t|)^{-b}$ to the classical real interpolation spaces. Applications are given for Lorentz–Zygmund function spaces, Besov spaces of generalized smoothness and Lorentz–Zygmund operator spaces.

Keywords

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)