Rough Hausdorff operator and its commutators on the Heisenberg group

被引：0
|
作者：
Kieu Huu Dung
Dao Van Duong
Nguyen Minh Chuong
机构：
[1] Van Lang University,Faculty of Basic Sciences
[2] Mientrung University of Civil Engineering,School of Mathematics
[3] Vietnamese Academy of Science and Technology,Institute of Mathematics
来源：
Advances in Operator Theory | 2021年 / 6卷
关键词：
Rough Hausdorff operator; Commutator; Central Morrey space; Herz space; Central BMO space; weight; Heisenberg group; 42B35; 46E30; 47B38;
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摘要：
In this paper, we discuss some sufficient conditions for the boundedness of rough Hausdorff operators on the central Morrey and Herz spaces with the Muckenhoupt weights on the Heisenberg group. The boundedness for the commutators of rough Hausdorff operators with symbols in weighted CMO space on such spaces is given as well.
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