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L 2 estimates for oscillatory singular integral operators with analytic phrases

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Abstract

L 2 estimates are obtained for some oscillatory singular integral operators with analytic phrases by using the technology of almost orthogonality, oscillatory estimates and size estimates.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin University, 300072, Tianjin, China

    Zhenqiu Zhang & Fengjun Liu

  2. Liu Hui Center for Applied Mathematics, Nankai University, 300071, Tianjin

    Zhenqiu Zhang & Fengjun Liu

  3. Tianjin University, 300072, Tianjin, China

    Zhenqiu Zhang & Fengjun Liu

Authors
  1. Zhenqiu Zhang
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  2. Fengjun Liu
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Correspondence to Zhenqiu Zhang.

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Zhang, Z., Liu, F. L 2 estimates for oscillatory singular integral operators with analytic phrases. Sci. China Ser. A-Math. 46, 815–823 (2003). https://doi.org/10.1360/02ys0300

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  • DOI: https://doi.org/10.1360/02ys0300

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