Schrdinger算子的Riesz平均不等式  

Riesz means inequalities of Schrdinger operators

作　　者：赵琳[1] 贾高[1] 

机构地区：[1]上海理工大学理学院,上海20093

出　　处：《上海理工大学学报》2010年第1期9-12,共4页Journal of University of Shanghai For Science and Technology

基　　金：上海市教育委员会科研创新基金资助项目(08YZ94)

摘　　要：研究定义在有界区域上的Schrdinger算子的离散谱,借助有关特征值估计的迹公式,采用一种新的方法证明了特征值Riesz平均的微分不等式和差分不等式,进而得到有关Riesz平均的单调性.The discrete spectrum of Schr6dinger operators defined on a bounded domain were discussed, and using trace identity of eigenvalue estimates, differential inequalities and difference inequalities for Riesz means of Schrodinger operators were derived. In this meaning, the monotony principles about Riesz means were obtained.

关 键 词：RIESZ平均 特征值 微分不等式 差分不等式 单调性 

分 类 号：O175.2[理学—数学]