Characterizations for the fractional maximal operator and its commutators on total Morrey spaces

被引：0
|
作者：
Guliyev, V. S. [1 ,2 ,3 ]
机构：
[1] Baku State Univ, Inst Appl Math, Baku, Azerbaijan
[2] Ahi Evran Univ, Dept Math, Kirsehir, Turkiye
[3] Peoples Friendship Univ Russia RUDN Univ, Moscow, Russia
来源：
POSITIVITY | 2024年 / 28卷 / 04期
关键词：
Total Morrey spaces; Fractional maximal operator; Commutator; BMO; ORLICZ SPACES; BOUNDEDNESS; BMO;
D O I：
10.1007/s11117-024-01068-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We shall give a characterization for the strong and weak type Adams type boundedness of the fractional maximal operator Ma on total Morrey spaces L p,.,mu(Rn), respectively. Also we give necessary and sufficient conditions for the boundedness of the fractional maximal commutator operator Mb, a and commutator of fractional maximal operator [b, Ma] on L p,.,mu(Rn) when b belongs to BMO(Rn) spaces, whereby some new characterizations for certain subclasses of BMO(Rn) spaces are obtained.
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收藏
页数：20
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