| 海森堡群上薛定谔算子的黎斯位势的某些性质 |
| |
| 引用本文： | 江寅生.海森堡群上薛定谔算子的黎斯位势的某些性质[J].数学学报,2010,53(4):785-794. |
| |
| 作者姓名： | 江寅生 |
| |
| 作者单位： | 新疆大学数学与系统科学学院 乌鲁木齐 830046 |
| |
| 基金项目： | 国家自然科学基金资助项目(10861010) |
| |
| 摘 要： | 设L=-△_(H~n)+V是Heisenberg群H~n上的Schr(o|¨)dinger算子,其中△_(H~n)为H~n上的次Laplacian,V≠0为满足逆H(o|¨)lder不等式的非负函数.本文研究H~n上Riesz位势I_α~L=L~(-α/2)在Campanato型空间A_L~β和Hardy型空间H_L~p上的某些性质.
|
| 关 键 词： | Schr(o|¨)dinger算子 Riesz位势 Heisenberg群 |
| 收稿时间： | 2009-04-30 |
| 修稿时间： | 2010-01-20 |
Some Properties of Riesz Potential Associated to Schrödinger Operator on the Heisenberg Groups |
| |
| Institution: | College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China |
| |
| Abstract: | Let L=-ΔHn+V be the Schrödinger operator on the Heisenberg groups Hn where ΔHn is the sub-Laplacian on Hn and  is a nonnegative function satisfying the reverse Hölder inequality. In this article, the author investigates some properties of the Riesz potential ILα=L-α/2 on the Campanato-type spaces ΛβL and the Hardy-type spaces HpL on Hn.
|
| |
| Keywords: | Schrö dinger operator Riesz potential Heisenberg group |
|
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
