This paper examines the relationships among different types of convergence in measurable func-tions,including everywhere convergence,uniform convergence,almost everywhere convergence,nearly u-niform convergence,and convergence in measure.It discusses these relationships using construction and counterexample methods,and demonstrates the uniqueness of the limit function in almost everywhere con-vergence or convergence in measure.
关键词
几乎处处收敛/依测度收敛/构造法/反例法
Key words
almost everywhere convergence/convergence in measure/construction/counter example
维普
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