摘要
要设Ｅ＝（Ｅ１，…，Ｅｍ）为Ｍａｒｉｏｎ集（不要求满足分离条件），本文证明Ｅ具有强正则性，即对任意１≤ｊ≤ｍ，ｄｉｍＨ Ｅｊ＝ｄｉｍＢ Ｅｊ，其中 ｄｉｍＨ Ｅｊ与 ｄｉｍＢ Ｅｊ分别表示Ｅｊ的 Ｈａｕｓｄｏｒｆｆ维数与盒维数．
Let E = (E1,…, Em) be the Marion set, not assuming open set condition, we prove in this paper that E has strong regularity property. That is, for any 1 ≤ i ≤ m, we have dimH Ej = dimB Ej, where dimH Ej and dimB Ej denote respectively the Hausdorff dimension and Box-dimension of the set Ej.
出处
《应用数学学报》
CSCD
北大核心
2000年第4期620-624,共5页
Acta Mathematicae Applicatae Sinica
