Boundedness of rough oscillatory singular integral on Triebel-Lizorkin spaces |
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| Authors: | Jiecheng Chen Liya Jiang |
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| Affiliation: | Department of Mathematics, Zhejiang University, 310028, PR China |
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| Abstract: | We give the boundedness on Triebel-Lizorkin spaces for oscillatory singular integral operators with polynomial phases and rough kernels of the form eiP(x)Ω(x)|x|−n, where Ω∈Llog+L(Sn−1) is homogeneous of degree zero and satisfies certain cancellation condition. |
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| Keywords: | Oscillatory singular integral Rough kernel Triebel-Lizorkin spaces |
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