| 幂零李群上的薛定谔算子的加权估计 |
| |
| 引用本文： | 刘宇.幂零李群上的薛定谔算子的加权估计[J].数学研究及应用,2010,30(6):1023-1031. |
| |
| 作者姓名： | 刘宇 |
| |
| 基金项目： | 国家自然科学基金(Grant Nos.10726064; 10901018);北京科技大学冶金工程研究院理论研究基金资助. |
| |
| 摘 要： | In this paper we consider the SchrSdinger operator -△G ＋ W on the nilpotent Lie group G where the nonnegative potential W belongs to the reverse H51der class Bq1 for some q1 ≥ D and D is the dimension at infinity of G. The weighted L^p -L6q estimates for the operators W^a（-△G ＋ W）^-β and W^a△G（-△G ＋ W）^-β are obtained.
|
| 关 键 词： | nilpotent Lie group Schr6dinger operators reverse HSlder class. |
| 收稿时间： | 2008/10/13 0:00:00 |
| 修稿时间： | 2009/9/15 0:00:00 |
The Weighted Estimates of the Schr\"{o}dinger Operators on the Nilpotent Lie Group |
| |
| Yu LIU.The Weighted Estimates of the Schr\"{o}dinger Operators on the Nilpotent Lie Group[J].Journal of Mathematical Research with Applications,2010,30(6):1023-1031. |
| |
| Authors: | Yu LIU |
| |
| Institution: | College of Mathematics and Information Science,Northwest Normal University,Gansu 730070,P.R.China |
| |
| Abstract: | In this paper we consider the Schr(o)dinger operator-△G + W on the nilpotent Lie group G where the nonnegative potential W belongs to the reverse HSlder class Bq1 for some q1≥D/2 and D is the dimension at infinity of G.The weighted Lp-Lq estimates for the operators Wα(-△G + W)-β and Wα△G(-△G + W)-β are obtained. |
| |
| Keywords: | nilpotent Lie group Schr(o)dinger operators reverse H(o)lder class |
| 本文献已被 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 |
