Unified Proof of Three Fundamental Theorems on Convergence of Function Sequences
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.
Real variable functionConvergenceEgorov's theoremLebesgue's theoremRiesz's theorem
万方数据
维普
