Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups

被引：5

作者：

Guliyev, V. S. ^{[1
,2
,3
]}

机构：

[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan

[2] Dumlupinar Univ, Dept Math, Kutahya, Turkey

[3] RUDN Univ, SM Nikolskii Inst Math, Moscow, Russia

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2020年 / 10卷 / 02期

关键词：

Carnot group; Fractional maximal operator; Generalized weighted Morrey space; Commutator; BMO; Homogeneous dimension; HIGHER-ORDER COMMUTATORS; INTEGRAL-OPERATORS; NORM INEQUALITIES; BOUNDEDNESS; EQUATIONS;

D O I：

10.1007/s13324-020-00360-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator M alpha, 0 <=alpha<Q on Carnot group G on generalized weighted Morrey spaces Mp,phi(G,w, where Q is the homogeneous dimension of G. Also we give a characterization for the Spanne type boundedness of the fractional maximal commutator operator Mb,alpha on generalized weighted Morrey spaces.

引用

页数：20

共 50 条

[1] Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups
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[2] CHARACTERIZATIONS FOR THE FRACTIONAL INTEGRAL OPERATOR AND ITS COMMUTATORS IN GENERALIZED WEIGHTED MORREY SPACES ON CARNOT GROUPS
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[3] Commutators of the fractional maximal function in generalized Morrey spaces on Carnot groups
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[4] BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR AND THEIR HIGHER ORDER COMMUTATORS IN GENERALIZED MORREY SPACES ON CARNOT GROUPS
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[5] BOUNDEDNESS OF FRACTIONAL MAXIMAL OPERATOR AND THEIR HIGHER ORDER COMMUTATORS IN GENERALIZED MORREY SPACES ON CARNOT GROUPS
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