Rough Hausdorff operators on Lebesgue spaces with variable exponent

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作者
Ziwei Li
Jiman Zhao
机构
[1] Beijing Normal University,Key Laboratory of Mathematics and Complex Systems, Ministry of Education Institution of Mathematics and Mathematical Education, School of Mathematical Sciences
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Rough Hausdorff operators; Variable exponent Lebesgue spaces; Heisenberg group; weight; 47G10; 42B35; 43A80; 47B91;
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摘要
In this paper, we study rough Hausdorff operators on variable exponent Lebesgue spaces in the setting of the Heisenberg group. We prove the boundedness of rough Hausdorff operators by giving some sufficient conditions.
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