|
|||||
|
|
| 分数次型 Marcinkiewicz 积分在 Hardy 空间中的有界性 | |
| 引用本文： | 司增艳,王丽娜,江寅生.分数次型 Marcinkiewicz 积分在 Hardy 空间中的有界性[J].数学研究及应用,2011,31(2):233-241. |
| 作者姓名： | 司增艳 王丽娜 江寅生 |
| 作者单位： | 北京师范大学数学科学学院, 北京 100875;中国人民解放军陆军航空兵学院基础部，北京 101123;新疆大学数学与系统科学学院, 新疆 乌鲁木齐 830046 |
| 基金项目： | 国家自然科学基金 (Grant Nos.10861010; 10871024). |
| 摘 要： | The authors in the paper proved that if Ω is homogeneous of degree zero and satisfies some certain logarithmic type Lipschitz condition,then the fractional type Marcinkiewicz Integral μ Ω,α is an operator of type （H˙ K n（1-1/q 1 ）,p q 1 ,˙ K n（1-1/q 1 ）,p q 2 ） and of type （H 1 （R n ）,L n/（n-α） ）. |
| 关 键 词： | fractional type Marcinkiewicz Integral Herz type Hardy space Hardy space |
| 收稿时间： | 2009/5/21 0:00:00 |
| 修稿时间： | 2009/7/13 0:00:00 |
Fractional Type Marcinkiewicz Integral on Hardy Spaces |
|
| Zeng Yan SI,Li Na WANG and Yin Sheng JIANG.Fractional Type Marcinkiewicz Integral on Hardy Spaces[J].Journal of Mathematical Research with Applications,2011,31(2):233-241. | |
| Authors: | Zeng Yan SI Li Na WANG and Yin Sheng JIANG |
| Institution: | 1. School of Mathematical Science, Beijing Normal University, Beijing 100875, P. R. China 2. Army Avation Insititute of PLA, Beijing 101123, P. R. China 3. College of Mathematics and System Sciences, Xinjiang University, Xinjiang 830046, P. R. China |
| Abstract: | The authors in the paper proved that if $\Omega$ is homogeneous of degree zero and satisfies some certain logarithmic type Lipschitz condition, then the fractional type Marcinkiewicz Integral $\mu_{\Omega , \alpha}$ is an operator of type ($H\dot{K}^{n(1-1/q_{1}),p}_{q_{1}},\dot{K}^{n(1-1/q_{1}),p}_{q_{2}}$) and of type ($H^{1}(R^{n}),L^{n/(n-\alpha)}$). |
| Keywords: | fractional type Marcinkiewicz Integral Herz type Hardy space Hardy space |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 | |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 | |