| CALCULUS ON CANTOR TRIADIC SET （Ⅱ）—EXCEPTIONAL SET |
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| 引用本文： | XILIFENG. CALCULUS ON CANTOR TRIADIC SET （Ⅱ）—EXCEPTIONAL SET[J]. 高校应用数学学报(英文版), 1998, 13(2): 231-240. DOI: 10.1007/s11766-998-0045-z |
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| 作者姓名： | XILIFENG |
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| 作者单位： | DepartmentofMathematics,WuhanUnivershy,Huhan430072 |
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| 摘 要： | In this paper the derivative and its exceptional set according to the alternatively jumping function and self-similar function respectively are discussed. And in the appendix, a proof of the statement 1.2(2) of “Calculus on Cantor triadic set (Ⅱ)—derivative” which is important to the discussion of exceptional set is given.
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| 关 键 词： | 康托三元集 分布函数 连续性 实变函数 |
| 收稿时间： | 1997-07-21 |
Calculus on Cantor triadic Set (I)—exceptional set |
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| Xi Lifeng. Calculus on Cantor triadic Set (I)—exceptional set[J]. Applied Mathematics A Journal of Chinese Universities, 1998, 13(2): 231-240. DOI: 10.1007/s11766-998-0045-z |
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| Authors: | Xi Lifeng |
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| Affiliation: | (1) Department of Mathematics, Wuhan University, 430072 Huhan |
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| Abstract: | In this paper the derivative and its exceptional Sct according to the alternatively jump-ing function and self-similar function respectively are discussed. And in the appendix, a proof of the statement 1. 2(2) of “Calculus on Cantor triadic Set (I)—derivative” which is important to the discussion of exceptional Set is given. Supported by the Foundation of Postdoctor. |
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| Keywords: | Fractal derivative on Cantor Set exceptional Set ergodic theory Duffin-Schaeffer’ s theorem |
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