对数插值空间与广义Lorentz-Zygmund空间的关联空间

IF 0.9 4区数学 Q2 Mathematics Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2020-01-01 DOI:10.5186/AASFM.2020.4525

Blanca F. Besoy, F. Cobos, L. M. Fernández-Cabrera

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引用次数: 1

摘要

我们确定了对数插值空间(X0, X1)1,q,A的关联空间，其中X0和X1是σ-有限测度空间(Ω，µ)上的Banach函数空间。将非原子测度空间上的偶(L1, L∞)的结果具体化，我们在广义Lorentz-Zygmund空间L(∞，q; a)的关联空间上恢复了Opic和Pick的结果。对序列空间也建立了相应的结果。

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Associate spaces of logarithmic interpolation spaces and generalized Lorentz–Zygmund spaces

We determine the associate space of the logarithmic interpolation space (X0, X1)1,q,A where X0 and X1 are Banach function spaces over a σ-finite measure space (Ω, µ). Particularizing the results for the case of the couple (L1, L∞) over a non-atomic measure space, we recover results of Opic and Pick on associate spaces of generalized Lorentz-Zygmund spaces L(∞,q;A). We also establish the corresponding results for sequence spaces.

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来源期刊

Annales Academiae Scientiarum Fennicae-Mathematica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio. AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.

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