Logarithmic interpolation spaces between quasi-Banach spaces

被引：0

作者：

Cobos, Fernando ^{[1
]}

Fernandez-Cabrera, Luz M.

Manzano, Antonio

Martinez, Anton

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, Escuela Estadist, Dept Matemat Aplicada, E-28040 Madrid, Spain

[3] Univ Burgos, Escuela Politecn Super, Dept Matemat & Comp, Burgos 09001, Spain

[4] Univ Vigo, ETS Ingn Ind, Dept Matemat Aplicada 1, Vigo 36200, Spain

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2007年 / 26卷 / 01期

关键词：

logarithmic interpolation spaces; real interpolation with a parameter function; Zygmund function spaces; Lorentz-Zygmund function spaces; operator spaces defined by using approximation numbers;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A(0) and A(1) be quasi-Banach spaces with A(0) hooked right arrow A(1). By means of a direct approach, we show that the interpolation spaces on (A(0), Al) generated by the function parameter t(theta) (1 + vertical bar log t vertical bar)(-b) can be expressed in terms of classical real interpolation spaces. Applications are given to Zygmund spaces L-p(log L)(b)(Omega), Lorentz-Zygmund function spaces and operator spaces defined by using approximation numbers.

引用

页码：65 / 86

页数：22

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