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.

引用

页码：303 / 327

页数：25

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