Lastly , by applying the representation theorem of t - measures , we get the lebesgue decomposition theorem for tco - measures 最后,我们运用t _ ?测度的积分表示定理证明了t _ ?测度的lebesgue分解定理。
In 1978 and 1983 , schmidt and butnariu prove the hahn decomposition theorem for finite t - measures in a different way , respectively 在1978年和1983年, schmidt和butnariu先后分别用不同的方法证明了有限t _ ?测度的jordan分解是存在的。
Then , we show that infinite t - measures just as finite too - measures also have jordan decompositions by using the corollary of hahn decomposition theorem for t - measures 而后,利用hahn分解定理的推论我们得出了“无限t _ ?测度与有限t _ ?测度一样也具有jordan分解”的结论。
In our paper , we firstly prove , in a similar way to the proof of hahn decomposition theorem for signed measures , that too - measures have hahn decompositions , too 在本文中,我们首先通过采用与经典测度论中证明符号测度的hahn分解定理类似的方法证明了t _ ?测度的hahn分解定理。
As we all know , measures have three decomposition theorems in classical measure theory , that is , hahn decomposition theorem , jordan decomposition theorem and lebesgue decomposition theorem 众所周知,在经典测度论中,测度有三个分解定理,即, hahn分解定理、 jordan分解定理和lebesgue分解定理。