ASSOCIATE SPACES OF LOGARITHMIC INTERPOLATION SPACES AND GENERALIZED LORENTZ-ZYGMUND SPACES

被引：1
|
作者：
Besoy, Blanca F. [1 ]
Cobos, Fernando [1 ]
Fernandez-Cabrera, Luz M. [2 ]
机构：
[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat & Matemat Aplicada, Plaza Ciencias 3, E-28040 Madrid, Spain
[2] Univ Complutense Madrid, Fac Estudios Estadist, Secc Dept Anal Matemat & Matemat Aplicada, E-28040 Madrid, Spain
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2020年 / 45卷
关键词：
Banach function spaces; logarithmic interpolation spaces; description of K-spaces in terms of the J-functional; generalized Lorentz-Zygmund spaces; REAL INTERPOLATION;
D O I：
10.5186/aasfm.2020.4525
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We determine the associate space of the logarithmic interpolation space (X-0,X-1)(1,)q(,A) where X-0 and X-1 are Banach function spaces over a sigma-finite measure space (Omega, mu). Particularizing the results for the case of the couple (L-1, L-infinity) over a non-atomic measure space, we recover results of Opic and Pick on associate spaces of generalized Lorentz-Zygmund spaces L-(infinity,L-q;A). We also establish the corresponding results for sequence spaces.
引用
收藏
页码：493 / 510
页数：18
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