Logarithmic Interpolation Spaces between Quasi-Banach Spaces | Zendy

Fernando Cobos | Zendy; Luz M. FernándezCabrera | Zendy; Antonio Manzano | Zendy; Antón Martı́nez | Zendy

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Logarithmic Interpolation Spaces between Quasi-Banach Spaces

Author(s) -

Fernando Cobos,

Luz M. FernándezCabrera,

Antonio Manzano,

Antón Martı́nez

Publication year - 2007

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1311

Subject(s) - interpolation space , mathematics , banach space , interpolation (computer graphics) , lp space , logarithm , birnbaum–orlicz space , pure mathematics , banach manifold , mathematical analysis , functional analysis , computer science , artificial intelligence , biochemistry , chemistry , gene , motion (physics)

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-\udbers.\u

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