中文摘要：

设（X，μ）是紧的一致完全的加倍度量测度空间，p〉1．证明下面的结果：若（X，μ）有非凡p模且存在C〉0，使对任意球B有μ（B）≤C（r（B））^p，则X的共形维数至少为p，这里r（B）表示B的半径．

英文摘要：

Suppose that （X,μ） is a compact and uniformly perfect doubling metric measure space and that p〉1. It obtains the following result. If X has nontrivial p-modulus and if there is a constant C〉0 such that μ（B）≤C（r（B））^p for any ball B belong to X, then the conformal dimension of X is at least p, where r（B） denotes the radius of B.