| 带非卷积核的分数次振荡积分算子及其交换子的加权有界性质——献给陆善镇教授75华诞 |
| |
| 引用本文： | 傅尊伟,石少广,赵发友.带非卷积核的分数次振荡积分算子及其交换子的加权有界性质——献给陆善镇教授75华诞[J].中国科学:数学,2014,44(5):457-468. |
| |
| 作者姓名： | 傅尊伟 石少广 赵发友 |
| |
| 作者单位： | 临沂大学数学系, 临沂 276005;
上海大学数学系, 上海 200444 |
| |
| 基金项目： | 国家自然科学基金(批准号:11271175,11301249和11201287);山东省重点学科“应用数学”提升计划资助项目 |
| |
| 摘 要： | 振荡积分算子的有界性质是调和分析研究的中心内容之一.本文建立一类由Ricci和Stein定义的带非卷积核的分数次振荡积分算子在加权Lebesgue空间中的有界性质.特别地,结合复分析和数学归纳等方法得到该类算子和有界平均振幅（BMO）函数生成交换子的加权有界性质.
|
| 关 键 词： | 分数次振荡积分 Ap权 交换子 |
Weighted boundedness of fractional oscillatory integral operators with non-convolution kernels and their commutators |
| |
| FU ZunWei,SHI ShaoGuang,ZHAO FaYou.Weighted boundedness of fractional oscillatory integral operators with non-convolution kernels and their commutators[J].Scientia Sinica Mathemation,2014,44(5):457-468. |
| |
| Authors: | FU ZunWei SHI ShaoGuang ZHAO FaYou |
| |
| Institution: | FU ZunWei, SHI ShaoGuang , ZHAO FaYou |
| |
| Abstract: | Boundedness of oscillatory integral operator is one of key problems in harmonic analysis. In this paper, we establish the boundedness for a class of fractional oscillatory integral operators with non-convolution kernels, due to Ricci and Stein, on weighted Lebesgue spaces. Particularly, we obtain the weighted boundedness of commutators generated by these operators and BMO functions by combining the methods of complex analysis and induction. |
| |
| Keywords: | fractional oscillatory integral operator Ap weight commutator |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《中国科学:数学》浏览原始摘要信息 |
| 点击此处可从《中国科学:数学》下载免费的PDF全文 |
