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粗糙核超奇异积分算子的加权有界性

黄文礼 陶祥兴 李胜宏

黄文礼, 陶祥兴, 李胜宏. 粗糙核超奇异积分算子的加权有界性[J]. 应用数学和力学, 2010, 31(6): 731-738. doi: 10.3879/j.issn.1000-0887.2010.06.010
引用本文: 黄文礼, 陶祥兴, 李胜宏. 粗糙核超奇异积分算子的加权有界性[J]. 应用数学和力学, 2010, 31(6): 731-738. doi: 10.3879/j.issn.1000-0887.2010.06.010
HUANG Wen-li, TAO Xiang-xing, LI Sheng-hong. Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels[J]. Applied Mathematics and Mechanics, 2010, 31(6): 731-738. doi: 10.3879/j.issn.1000-0887.2010.06.010
Citation: HUANG Wen-li, TAO Xiang-xing, LI Sheng-hong. Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels[J]. Applied Mathematics and Mechanics, 2010, 31(6): 731-738. doi: 10.3879/j.issn.1000-0887.2010.06.010

粗糙核超奇异积分算子的加权有界性

doi: 10.3879/j.issn.1000-0887.2010.06.010
基金项目: 国家自然科学基金资助项目(10771110);教育部重大项目基金资助项目(309018)
详细信息
    作者简介:

    黄文礼(1982- ),男,浙江金华人,博士(联系人.E-mail:wlhuangmath@gmail.com).

  • 中图分类号: O174.3

Weighted Estimates for Strongly Singular Integral Operators With Rough Kernels

  • 摘要: 利用Fourier变换和Littlewood-Paley理论,讨论了带粗糙核的超奇异积分算子的加权有界性.证明了带粗糙核的超奇异积分算子从Sobolev空间到Lebesgue空间的有界性.
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出版历程
  • 收稿日期:  2009-10-27
  • 修回日期:  2010-05-11
  • 刊出日期:  2010-06-15

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