Description of Interpolation Spaces for Local Morrey-Type Spaces

被引：42

作者：

Burenkov, V. I. ^{[1
]}

Nursultanov, E. D. ^{[1
]}

机构：

[1] LN Gumilyov Eurasian Natl Univ, Astana 010008, Kazakhstan

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 269卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

SINGULAR INTEGRAL-OPERATORS; SUFFICIENT CONDITIONS; RIESZ-POTENTIALS; MAXIMAL OPERATOR; BOUNDEDNESS; EQUATIONS;

D O I：

10.1134/S0081543810020045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the real interpolation method and prove that for local Morrey spaces, in the case when they have the same integrability parameter, the interpolation spaces are again local Morrey-type spaces with appropriately chosen parameters. Thus, in contrast to the standard Morrey-type spaces, these local spaces form an interpolation scale. In particular, this is true in the so-called nondiagonal case.

引用

页码：46 / 56

页数：11

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