1The Chinese University of Hong Kong, Department of Mathematics 2South China University of Technology, Department of Mathematics, and The Chinese University of Hong Kong, Department of Mathematics
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 957-963
Cet article a éte moissonné depuis la source Journal.fi
We prove that for all $s\in(0,d)$ and $c\in (0,1)$ there exists a self-similar set $E\subset\mathbf{R}^d$ with Hausdorff dimension $s$ such that $\mathcal{H}^s(E)=c|E|^s$. This answers a question raised by Zhiying Wen [16].
1
The Chinese University of Hong Kong, Department of Mathematics
2
South China University of Technology, Department of Mathematics, and The Chinese University of Hong Kong, Department of Mathematics
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author = {Cai-Yun Ma and Yu-Feng Wu},
title = {A note on {Hausdorff} measures of self-similar sets in {R^d}},
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Cai-Yun Ma; Yu-Feng Wu. A note on Hausdorff measures of self-similar sets in R^d. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 957-963. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a20/
