Packing Measure and Dimension of Loosely Self-Similar Sets
Commun. Korean Math. Soc. 1998 Vol. 13, No. 4, 781-789
Tae Hee Kim, Mi Ryeong Lee, Sang Hun Lee, Hung Hwan Lee
Kyungpook National University, Kyungpook National University, Kyungpook National University, Kyungpook National University
Abstract : Let $K$ be a loosely self-similar set. Then $\alpha$-dimensional packing measure of $K$ is the same as that of a Borel subset $K(r_1^\alpha,\cdots,r_m^\alpha)$ of $K$. And packing dimension of $K$ is equal to that of $K\setminus K(r_1^\alpha,\cdots,r_m^\alpha)$ and $K(r_1^\alpha,\cdots,r_m^\alpha).$
Keywords : packing measure and dimension, loosely self-similar set
MSC numbers : 28A78, 28A80
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