中文摘要：

在新权函数A（α,β,γ;E）的三个参数α,β和γ为独立参数的条件下,借助逆Hlder不等式,证明带A（α,β,γ;E）-权的局部的Poincaré嵌入范数估计,将结果推广到δ-John域,得到相应的全局嵌入不等式。作为主要结果的应用,给出两类调和函数的积分上界估计。

英文摘要：

By the help of the reverse Holder inequality, the local Poincare imbedding norm estimate with a new weight A （ α ,β, γ ; E） is first proven under the condition that α ,β and γ are three independent pa- rameters. Then, the above result is extended to the δ-John domain, and the corresponding global imbed- ding inequality is obtained. At last, as applications, the integral upper bounds of two kinds of harmonic functions are given.