Boundedness of rough singular integral operators on the Triebel-Lizorkin spaces |
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| Authors: | Jiecheng Chen |
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| Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China 310027 |
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| Abstract: | ![]()
We consider the singular integral operator T with kernel K(x)=Ω(x)/n|x| and prove its boundedness on the Triebel-Lizorkin spaces  provided that Ω satisfies a size condition which contains the case Ω∈Lr(Sn−1), r>1. |
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| Keywords: | Singular integral Triebel-Lizorkin space Rough kernel |
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