A class of oscillatory singular integrals on triebel-lizorkin spaces |
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Authors: | Jiang Liya Chen Jiecheng |
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Institution: | (1) Dept. of Math., Zhejiang Univ. of Technology, 310014 Hangzhou, China;(2) Dept. of Math., Zhejiang Univ., 310028 Hangzhou, China |
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Abstract: | The boundedness on Triebel-Lizorkin spaces of oscillatory singular integral operator T in the form e
i|x|
aΩ(x)|x|−n is studied, where a∈)R, a≠0,1 and Ω≠L
1(Sn−1) is homogeneous of degree zero and satisfies certain cancellation condition. When kernel Ω(x′≠)Llog+
L(Sn−1), the
boundedness of the above operator is obtained. Meanwhile, when Ω(x) satisfies L
1-Dini condition, the above operator T is bounded on
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Supported by 973-project (G1999075109), NSFZJ (RC97017), RFDP (20030335019), NSFC (10271107). |
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Keywords: | oscillatory singular integral Triebel-Lizorkin space |
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