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L~2 estimates for oscillatory singular integral operators with analytic phrases
作者姓名:张震球  刘凤君
作者单位:Department of Mathematics,Tianjin University,Tianjin 300072,China,Liu Hui Center for Applied Mathematics,Nankai University,Tianjin 300071,Tianjin University,Tianjin 300072,China
基金项目:国家自然科学基金,南开大学-天津大学合作项目 
摘    要:L2 estimates are obtained for some oscillatory singular integral operators with analytic phrases by using the technology of almost orthogonality, oscillatory estimates and size estimates.


L2 estimates for oscillatory singular integral operators with analytic phrases
ZHANG Zhenqiu & LIU Fengjun.L~2 estimates for oscillatory singular integral operators with analytic phrases[J].Science in China(Mathematics),2003,46(6).
Authors:ZHANG Zhenqiu & LIU Fengjun
Institution:Department of Mathematics, Tianjin University, Tianjin 300072,China;Liu Hui Center for Applied Mathematics, Nankai University, Tianjin 300071; Tianjin University, Tianjin 300072,China
Abstract:L2 estimates are obtained for some oscillatory singular integral operators with analytic phrases by using the technology of almost orthogonality, oscillatory estimates and size estimates.
Keywords:phase function  almost orthogonality  oscillatory estimate  size estimate  
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