| 一类无穷可分测度的弱Poincare不等式 |
| |
| 引用本文： | 钟俊江.一类无穷可分测度的弱Poincare不等式[J].厦门理工学院学报,2008,16(2):56-60. |
| |
| 作者姓名： | 钟俊江 |
| |
| 作者单位： | 厦门理工学院数理系,福建厦门361024 |
| |
| 基金项目： | 厦门市科技计划指导性项目（3502220077012） |
| |
| 摘 要： | 基于一个特定二次型的基本代数结果（见引理5），研究一类无穷可分测度的弱Poincare不等式，在测度空间上得到了该不等式的判别条件与性质．
|
| 关 键 词： | 无穷可分 弱Poincare不等式 Radon均值测度 |
On the Weak Poincare Inequality for a Class of Infinitely Divisible Measures |
| |
| ZHONG Jun-jiang.On the Weak Poincare Inequality for a Class of Infinitely Divisible Measures[J].Journal of Xiamen University of Technology,2008,16(2):56-60. |
| |
| Authors: | ZHONG Jun-jiang |
| |
| Institution: | ZHONG Jun-jiang ( Department of Mathematics and Physics, Xiamen University of Technology, Xiamen 361024, China) |
| |
| Abstract: | In this paper, we characterize the weak Poineare inequality for bilinear forms of gradient type defined on L2-spaces w. r.t. a class of infinitely divisible measures m in terms of canonical measure Π associated with m. The characterization is based on an elementary algebraic observation concerning certain quadratic forms associated with m and Π, which is of its own interest（ see Lemma 5）. |
| |
| Keywords: | infinitely divisible weak Poineare inequality Radon mean measure |
| 本文献已被 维普 等数据库收录！ |
