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Cobos, Fernando and Fernández-Cabrera, Luz M. and Manzano, Antonio and Martinez, Antón (2007) Logarithmic Interpolation Spaces Between Quasi-Banach Spaces. Zeitschrift Fur Analysis Und Ihre Anwendungen, 26 (1). pp. 65-86. ISSN 0232-2064
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Official URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-
Abstract
Let 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Operator Ideals; Sobolev Spaces; Orlicz Spaces; Parameter; Entropy; Logarithmic Interpolation Spaces; Real Interpolation with a Parameter Function; Zygmund Function Spaces; Lorentz-Zygmund function spaces; Mathematics; Multidisciplinary Sciences |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 14986 |
| Deposited On: | 25 Apr 2012 09:09 |
| Last Modified: | 14 Jun 2018 13:35 |
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