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Solution of Luzin's category problem on the existence of a primitive function

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Abstract

N. N. Luzin's problem on the existence of a primitive function is considered. We present a more precise formulation of the solution of this problem obtained by Landis.

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References

  1. N. N. Luzin,Integral and Trigonometric Series [in Russian], Inostr. Lit., Moscow (1951).

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  2. S. V. Gorlenko, “Generalization of the theorem on the points of continuity of the derivative and its applications to the theory of analytic function,” in:Proceedings of the Tenth Mathematical School [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1974), pp. 260–269.

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  3. S. Saks,Theory of Integral [Russian translation], Inostr. Lit., Moscow (1949).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    D. D. Ilmuradov

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  1. D. D. Ilmuradov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 10, pp. 1369–1374, October, 1994.

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Ilmuradov, D.D. Solution of Luzin's category problem on the existence of a primitive function. Ukr Math J 46, 1512–1518 (1994). https://doi.org/10.1007/BF01066094

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  • DOI: https://doi.org/10.1007/BF01066094

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