Morrey spaces and fractional integral operators

被引：27
|
作者：
Eridani, A. [1 ,2 ]
Kokilashvili, Vakhtang [3 ]
Meskhi, Alexander [1 ,3 ]
机构：
[1] Govt Coll Univ, Sch Math Sci, Lahore, Pakistan
[2] Airlangga Univ, Dept Math, Mulyorejo 60115, Surabaya, Indonesia
[3] A Razmadze Math Inst, GE-0193 Tbilisi, Georgia
来源：
EXPOSITIONES MATHEMATICAE | 2009年 / 27卷 / 03期
基金：
美国国家科学基金会;
关键词：
Fractional integrals; Morrey spaces; Non-homogeneous spaces; Trace inequality; Two-weight inequality; MAXIMAL OPERATOR; BOUNDEDNESS; INEQUALITIES;
D O I：
10.1016/j.exmath.2009.01.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are established. In the case when measure satisfies the doubling condition the derived conditions are simultaneously necessary and sufficient for appropriate inequalities. (C)2009 Elsevier GmbH. All rights reserved.
引用
收藏
页码：227 / 239
页数：13
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