Abstract
Abstract In this paper, we obtain the analogue of Frostman lemma in a product probability space for Billingsley definition of Hausdorff measure. In the same way, there is a valid result for packing pre-measure. Furthermore, we obtain the representations of dimμ and dimμ by means of the analogue of Frostman lemma, and give a technique for showing that A×B∈ F 1 × F 2 is a fractal with respect to μ=μ1×μ2.
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