| BOUNDEDNESS OF THE CALDERóN COMMUTATOR WITH A ROUGH KERNEL ON TRIEBEL-LIZORKIN SPACES |
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| 引用本文： | 胡国恩,刘洁.BOUNDEDNESS OF THE CALDERóN COMMUTATOR WITH A ROUGH KERNEL ON TRIEBEL-LIZORKIN SPACES[J].数学物理学报(B辑英文版),2023(4):1618-1632. |
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| 作者姓名： | 胡国恩 刘洁 |
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| 作者单位： | Center of Fundamental Science, Huanghe Science and Technology University |
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| 基金项目： | supported by the NNSF of China(11871108)； |
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| 摘 要： | In this paper,we consider the boundedness on Triebel-Lizorkin spaces for the d-dimensional Calderón commutator defined by■,where Ω is homogeneous of degree zero,integrable on Sd-1 and has a vanishing moment of order one,and a is a function on Rd such that ?a∈L∞(Rd),We prove that if 1 2q(Sd-1) with q=max{1/q,1/q’},then TΩ,a is bounded on Triebel-Lizorkin spaces Fp0,q(R
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