COMPLEX INTERPOLATION OF PREDUAL SPACES OF GENERAL LOCAL MORREY-TYPE SPACES

被引：3

作者：

Hakim, Denny Ivanal ^{[1
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Minami Ohsawa 1-1, Hachioji, Tokyo 1920397, Japan

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2018年 / 12卷 / 03期

关键词：

local block spaces; local Morrey-type spaces; predual space; associate space; complex interpolation method;

D O I：

10.1215/17358787-2017-0043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the complex interpolation of predual spaces of general local Morrey-type spaces. By showing that these spaces are equal to the associate space of general local Morrey-type spaces, we prove that predual spaces of general local Morrey-type spaces behave well under the first complex interpolation.

引用

页码：541 / 571

页数：31

共 26 条

[1]

[Anonymous], 1995, Publ. Mat., DOI [DOI 10.5565/PUBLMAT_39295_15, 10.5565/PUBLMAT_39295_15]

[2]

Bennett C., 1988, Pure and Applied Mathematics, V129

[3]

Bergh J., 1976, GRUND MATH WISS, V223

[4]

Blasco O., 1999, ANN SC NORM SUPER S, V28, P31

[5] Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations [J].

Burenkov, V. I. ;

Nursultanov, E. D. ;

Chigambayeva, D. K. .

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 284 (01) :97-128

[6]

Burenkov VI, 2011, EURASIAN MATH J, V2, P52

[7] Description of Interpolation Spaces for Local Morrey-Type Spaces [J].

Burenkov, V. I. ;

Nursultanov, E. D. .

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 269 (01) :46-56

[8]

Burenkov V. I., COMPLEX INTERP UNPUB

[9]

Calderon A.P., 1964, Stud. Math, V24, P113, DOI [10.4064/sm%2D24-2%2D113-190, DOI 10.4064/SM-24-2-113-190]

[10] On the connection between real and complex interpolation of quasi-Banach spaces [J].

Cobos, F ;

Peetre, J ;

Persson, LE .

BULLETIN DES SCIENCES MATHEMATIQUES, 1998, 122 (01) :17-37

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