The set matrix { Pk,i} is defined,and several convergence properties of function sequences are char-acterized by the properties of { Pk,i},and then the proofs of unified form of Egorov's theorem,Lebesgue's the-orem and Riesz's theorem are given.
关键词
实变函数/收敛性/叶戈罗夫定理/勒贝格定理/里斯定理
Key words
Real variable function/Convergence/Egorov's theorem/Lebesgue's theorem/Riesz's theorem