Variable exponent Morrey and Campanato spaces

被引：24
|
作者：
Fan, Xianling [1 ]
机构：
[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Variable exponent Lebesgue space; Variable exponent Morrey space; Variable exponent Campanato space; Variable exponent Holder space; SOBOLEV EMBEDDINGS; LEBESGUE SPACES; GENERALIZED LEBESGUE; RIESZ-POTENTIALS; MAXIMAL-FUNCTION; OPERATORS; CONVOLUTION; EQUATIONS; THEOREM;
D O I：
10.1016/j.na.2010.01.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classical Morrey spaces and Campanato spaces are generalized to the variable exponent case. The definitions and some basic properties of the variable exponent Morrey and Campanato spaces are presented. A concept of the p(.)-average of the functions is introduced. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4148 / 4161
页数：14
相关论文
共 50 条
12345