A class of generalized Sierpinski carpets is first defined.Then,an upper bound for their Hausdorff measure is derived by using a special covering method.After that,a mass distribution on these generalized Sierpinski carpets is define and mass distribution principle are used to discuss the lower bound.Finally,the exact value of the Hausdorff measure is obtained.
关键词
Sierpinski垫/Hausdorff测度/质量分布原理
Key words
Sierpinski carpets/Hausdorff measure/mass distribution principle
维普
万方数据