Logarithmic Interpolation Spaces Between Quasi-Banach Spaces

dc.contributor.authorCobos, Fernando
dc.contributor.authorFernández-Cabrera, Luz M.
dc.contributor.authorManzano, Antonio
dc.contributor.authorMartinez, Antón
dc.description.abstractLet A0 and A1 be quasi-Banach spaces with A0 ,! A1. By means of a direct approach, we show that the interpolation spaces on (A0;A1) generated by the function parameter tµ(1 + j log tj)¡b can be expressed in terms of classical real inter-polation spaces. Applications are given to Zygmund spaces Lp(log L)b(­), Lorentz-Zygmund function spaces and operator spaces de¯ned by using approximation num- bers.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.sponsorshipSpanish Ministerio de Educación y Ciencia
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dc.journal.titleZeitschrift Fur Analysis Und Ihre Anwendungen
dc.publisherHeldermann Verlag
dc.rights.accessRightsrestricted access
dc.subject.keywordOperator Ideals
dc.subject.keywordSobolev Spaces
dc.subject.keywordOrlicz Spaces
dc.subject.keywordLogarithmic Interpolation Spaces
dc.subject.keywordReal Interpolation with a Parameter Function
dc.subject.keywordZygmund Function Spaces
dc.subject.keywordLorentz-Zygmund function spaces
dc.subject.keywordMultidisciplinary Sciences
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleLogarithmic Interpolation Spaces Between Quasi-Banach Spaces
dc.typejournal article
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