[分析] 均勻收斂 與 絕對連續

看板Math作者時間14年前 (2011/08/24 09:08), 編輯推噓0(0推 0噓 2→)
留言2則, 2人參與, 最新討論串1/1
Let f，f_1，f_2，…be Lebesgue integrable functions on [0,1], and {f_n} converge uniformly to f. If f_n is absolutely continuous on [0,1] for each n=1,2,...,Prove or disprove that f is absolutely continuous on [0,1]. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.58.168.228
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08/24 09:53, , 1F
counterexample , Cantor function
08/24 09:53, 1F
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08/24 10:50, , 2F
Thanks :)
08/24 10:50, 2F
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