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A necessary and sufficient condition for lebesgue surface measurability. Estimates for surface measure of a borel set on a measurable surface

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Literature Cited

  1. L. Cesari, Surface Area, Ann. Math. Studies, No. 35 (1956).

  2. I. A. Danelich, Surfaces with Bounded Mean Integral Curvature with Edges, Sib. Matem. Zh.,5, No. 5, 1035–1060 (1964).

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  4. P. S. Aleksandrov, Introduction to General Theory of Sets and Functions [in Russian], Gostekhizdat. Moscow (1948).

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  5. R. E. Fullerton, Generalized Length and Inequality of Cesari for Surffces Defined over Two-Manifolds, Rivista di Matematica delia Universita Parma,10 (1959).

  6. P. Halmos, Theory of Measure [Russian translation] (1953).

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Authors
  1. I. A. Danelitch
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Translated from Sibirskii Matematicheskii Zhurnal Vol. 8, No. 6, pp. 1245–1271, November–December 1967.

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Danelitch, I.A. A necessary and sufficient condition for lebesgue surface measurability. Estimates for surface measure of a borel set on a measurable surface. Soviet Mathematical Journal 8, 951–968 (1967). https://doi.org/10.1007/BF02196403

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  • DOI: https://doi.org/10.1007/BF02196403

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