关于位势的渐近行为

On Asymptotic Behaviors of Potentials

考虑局部紧可分度量空间X 中具有一般核的位势 的渐近行为，其中 h（r ）为（0，∞ ）上的不增正连续函数．满足条件 为X 里正则 Borel正测度．得到以下研究结果：设μ满足 ，则存在E X,E在∞处瘦，使 =0,且瘦集E的选择最佳.

On locally compact seperable metric spaces X, we consider the asymptotic behav- iors of potentials with kernels of general type where h(r) is a non-increasing positive continuous function on (0, ∞), and satisfies conditions μis a regular positive Borel measure in X. we obtain the following result: Let μ satisfies , then there is a set E X, thin at ∞, such that and this set E is the best choice.