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Boundedness of singular integrals along surfaces on Lebesgue spaces
  • ISSN号：1005-1031
  • 期刊名称：Applied Mathematics-A Journal of Chinese Universit
  • 时间：2010.2.2
  • 页码：192-198
  • 分类：O177.6[理学—数学;理学—基础数学] O186.11[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, Zhejiang University of Technology, Hangzhou 310023, China, [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, China, [3]College of Science, Hangzhou Dianzi University, Hangzhou 310018, China
  • 相关基金：Supported by the National Natural Science Foundation of China （10931001, 10871173）.
  • 相关项目：调和分析及其应用
作者： Zhang, Yan-dan|Chen, Jie-cheng|Zhang, Chun-jie|
关键词： 奇异积分算子, LEBESGUE空间, 曲面, 应用程序, 有界性, 粗糙, Singular integrals, surfaces, rough kernels, Plancherel＇s theorem, oscillatory singular integrals.
中文摘要：

在纸，我们建立 L p (吗？n+1 ) 为单个不可分的操作员的一个班的 -boundedness 联系了到革命的表面(y，(|y|) ， y？有不平的核的 n。我们也给这不平等的几应用。

英文摘要：

In the paper, we establish the LP（Rn＋1）-boundedness for a class of singular integral operators associated to surfaces of revolution {（y,γ（｜y｜）, y ∈ Rn} with rough kernels. We also give several applications of this inequality.

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几类超奇性奇异积分算子的研究
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调和分析及其应用
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期刊信息
  • 《高校应用数学学报：英文版（B辑）》
  • 主管单位:教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu B@eju.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1005-1031
  • 国内统一刊号：ISSN：33-1171/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）
  • 被引量:26