Weak log-Sobolev and Lp weak Poincare inequalities for general symmetric forms are investigated by using newly defined Cheeger's isoperimetric constants. Some concrete examples of ergodic birth-death processes are al...Weak log-Sobolev and Lp weak Poincare inequalities for general symmetric forms are investigated by using newly defined Cheeger's isoperimetric constants. Some concrete examples of ergodic birth-death processes are also presented to illustrate the results.展开更多
文摘Weak log-Sobolev and Lp weak Poincare inequalities for general symmetric forms are investigated by using newly defined Cheeger's isoperimetric constants. Some concrete examples of ergodic birth-death processes are also presented to illustrate the results.