The Hausdorff Measure of a Class of Generalized Sierpinski Carpets
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.
Sierpinski carpetsHausdorff measuremass distribution principle
万方数据
维普
