Linear and sublinear operators on generalized Morrey spaces with non-doubling measures

被引：16
|
作者：
Guliyev, Vagif [1 ,2 ]
Sawano, Yoshihiro [3 ]
机构：
[1] Ahi Evran Univ, Dept Math, Kirsehir, Turkey
[2] Inst Math & Mech NAS Azerbaijan, Baku 370000, Azerbaijan
[3] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 6068502, Japan
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2013年 / 83卷 / 03期
基金：
日本学术振兴会;
关键词：
Morrey spaces; generalized Morrey spaces; maximal operator; singular integral operators; fractional integral operator; commutators; FRACTIONAL INTEGRAL-OPERATORS; CALDERON-ZYGMUND OPERATORS; MAXIMAL OPERATOR; MULTILINEAR COMMUTATORS; RIESZ-POTENTIALS; HERZ SPACES; BOUNDEDNESS; INEQUALITIES;
D O I：
10.5486/PMD.2013.5508
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using a geometric structure of the Euclidean space, the theory of generalized Morrey spaces is shown to be available in the non-doubling setting. Some classical operators are established to be bounded in the generalized spaces defined in the present paper.
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页码：303 / 327
页数：25
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