Multifractal dimension inequalities in a probability space

作者:Li Yueling; Dai Chaoshou*
来源:Chaos Solitons & Fractals, 2007, 34(2): 213-223.
DOI:10.1016/j.chaos.2006.04.066

摘要

Let v be a probability measure on Omega. We define the upper and lower multifractal box dimension (the measure v with respect to mu) on a probability space and investigate the relation between the multifractal box dimension and the multifractal Hausdorff dimension, the multifractal pre-packing dimension. Then, we generalize the dimension inequalities of multifractal Hausdorff measures and multifractal packing measures in a probability space.