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

页码：493 / 510

页数：18

共 18 条

[1]

[Anonymous], 2004, HARDY OPERATORS FUNC, DOI DOI 10.1007/978-3-662-07731-3

[2]

Bennett C., 1988, Interpolation of Operators

[3]

Bergh J., 1976, GRUNDLEHREN MATH WIS

[4]

BESOY B. F, 2019, PREPRINT