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The distributional dimension of fractals |
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| Authors: | Xia Li Weiyi Su |
| Institution: | (1) School of Mathematics and Physics, Anhui University of Technology, Ma Anshan, 243002, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China |
| Abstract: | In the book 1] H.Triebel introduces the distributional dimension of fractals in and distributional dimension, respectively. Thus we might say that the distributional dimension is an analytical definition for Hausdorff dimension. Therefore we can study Hausdorff dimension through the distributional dimension analytically.By discussing the distributional dimension, this paper intends to set up a criterion for estimating the upper and lower bounds of Hausdorff dimension analytically. Examples illustrating the criterion are included in the end. |
| Keywords: | distributional dimension Hausdorff dimension Bsp q(Rn) space equivalent quasi-norm FRACTALS DIMENSION Examples paper criterion upper and lower bounds study analytical definition Hausdorff dimension Triebel fractals distributional book |
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