【摘要】 密度定理是分形理论中非常重要的定理,Dai Chaoshou和Taylor S J在文献[1]中给出了概率空间中的密度定理.本文推广了文献[1]中的结果,在乘积概率空间中证明了相应于Hausdorff测度与Packing测度的密度定理.更多还原

【Abstract】 In fractals theory,the density theorems are very important.In Ref.\ the density theorems have been proved in probability spaces by Dai Chaoshou and Taylor S J.In this paper,the density theorems in product probability spaces are studied,and the density theorems about Hausdorff measures and Packing measures are obtained,respectively.更多还原