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Two remarks on the decreasing rearrangement of a function - MaRDI portal

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Two remarks on the decreasing rearrangement of a function (Q1089444)

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scientific article; zbMATH DE number 4004512
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English
Two remarks on the decreasing rearrangement of a function
scientific article; zbMATH DE number 4004512

    Statements

    Two remarks on the decreasing rearrangement of a function (English)
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    1987
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    We show that an almost everywhere differentiable function is singular iff its decreasing rearrangement is singular. Also we give a remark on a theorem of \textit{G. F. D. Duff} [Can. J. Math. 28, 793-804 (1976; Zbl 0342.26015)].
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    equimeasurable rearrangement
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    Borel measurable
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    almost everywhere differentiable function
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    decreasing rearrangement
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