关键词: Multifractal Hausdorff measure, multifractal packing measure, general Sier-
pinski carpets

Abstract:

In this paper, authors study the properties of multifractal Hausdorff and pack-
ing measures for a class of self-affine sets and use them to study the multifractal properties
of general Sierpinski carpet E, and they get that the multifractal Hausdorff and packing
measure are mutual singular, when they are restricted on some subsets of E.

Key words: Multifractal Hausdorff measure, multifractal packing measure, general Sier-
pinski carpets