科研之友
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摘要
For 0 < lambda < 1/2 we consider the product , where is the attractor of the IFS on . The Huasdorff dimension of is . We show that and that there is a convex compact set () with . Such a convex compact set is called an "extremal set" of with respect to -dimensional Hausdorff measure . When is small, say , we further show that there exists an extremal set with such that for . As an application, we can estimate the value of to any pre-set error is an element of.
