一般Henstock积分的支配收敛定理

The Controlled Convergence Theorem for the General Henstock Integral

本文给出划分空间上一般Ｈｅｎｓｔｏｃｋ积分，最一般形式支配收敛定理、推进和概括这一方面的结论．

Some generalied convergence theorems have been proved for the Henstock integral on the real line. In particular, the controlled convergence theorem has been proved independently by Djvarsheishvili (1951) and Lee and Chew (1985). It has also been extended to higher dimensions. In this paper, we prove it for the general Henstock integral, or in the language of Henstock, the division space.