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 50 条

[31] Interpolation of Lorentz martingale spaces
Ren YanBo
Guo TieXin
SCIENCE CHINA-MATHEMATICS, 2012, 55 (09) : 1951 - 1959
[32] LORENTZ MARTINGALE SPACES AND INTERPOLATION
范利萍
焦勇
刘培德
ActaMathematicaScientia, 2010, 30 (04) : 1143 - 1153
[33] Interpolation of classical Lorentz spaces
Cerdà, J
Coll, H
POSITIVITY, 2003, 7 (03) : 225 - 234
[34] Interpolation of Lorentz martingale spaces
YanBo Ren
TieXin Guo
Science China Mathematics, 2012, 55 : 1951 - 1959
[35] LORENTZ MARTINGALE SPACES AND INTERPOLATION
Fan Liping
Jiao Yong
Liu Peide
ACTA MATHEMATICA SCIENTIA, 2010, 30 (04) : 1143 - 1153
[36] Interpolation of Lorentz martingale spaces
REN YanBo1
2LMIB and School of Mathematics and Systems Science
ScienceChina(Mathematics), 2012, 55 (09) : 1951 - 1959
[37] GENERALIZED INTERPOLATION SPACES
WILLIAMS, V
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 156 (MAY) : 309 - &
[38] Generalized composition operators on Zygmund spaces and Bloch type spaces
Li, Songxiao
Stevic, Stevo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) : 1282 - 1295
[39] Logarithmic interpolation spaces between quasi-Banach spaces
Cobos, Fernando
Fernandez-Cabrera, Luz M.
Manzano, Antonio
Martinez, Anton
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2007, 26 (01): : 65 - 86
[40] Interpolation theorem on Lorentz spaces over weighted measure spaces
Moritoh, S
Niwa, M
Sobukawa, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (08) : 2329 - 2334

← 1 2 3 4 5 →