L^p空间生灭过程的第一特征值

The First Eigenvalue of Birth-death Processes on L^p Space

得到Lp空间中生灭过程第一特征值λp0的上下界变分公式和λp0的一个基本估计,同时证明了第一特征值λp0关于p的单调性.

Upper and lower bounds of variational formulas and one basic estimate about the first eigenvalue λp0 of birth-death processes on Lp space are established, and the monotonic property of the first eigenvalue λp0 with respect to p is also proved.