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ABSTRACT AND CONCRETE LOGARITHMIC INTERPOLATION SPACES

Published online by Cambridge University Press:  23 July 2004

FERNANDO COBOS ,
LUZ M. FERNÁNDEZ-CABRERA  and
HANS TRIEBEL
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
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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

46B7046E3547B10
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 1 , August 2004 , pp. 231 - 243
Copyright
The London Mathematical Society 2004

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