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Journal of the London Mathematical Society 2004 70(1):231-243; doi:10.1112/S0024610704005460
© 2004 by London Mathematical Society
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© The London Mathematical Society

Abstract and Concrete Logarithmic Interpolation Spaces

Fernando Cobos, Luz M. Fernández-Cabrera and Hans Triebel

Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid 28040 Madrid, Spain, cobos{at}mat.ucm.es
Departamento de Matemática Aplicada, Escuela de Estadística, Universidad Complutense de Madrid 28040 Madrid, Spain, luz_fernandez-c{at}mat.ucm.es
Mathematisches Institut, Friedrich-Schiller-Universität Jena Ernst-Abbe-Platz 1–4, 07743 Jena, Germany, triebel{at}minet.uni-jena.de

Received 12 August 2003.

A procedure is given to reduce the interpolation spaces on an ordered pair generated by the function parameter t{theta}(1+|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.


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