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.
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页数：20
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