journal article Nov 01, 1967

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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References
6
[1]
L. Cesari, Surface Area, Ann. Math. Studies, No. 35 (1956). 10.1515/9781400882328
[2]
I. A. Danelich, Surfaces with Bounded Mean Integral Curvature with Edges, Sib. Matem. Zh.,5, No. 5, 1035–1060 (1964).
[3]
A. S. Kronrod, Functions of Two Variables, Uspekhi Matem. Nauk,5, No. 1, 24–134 (1950).
[4]
P. S. Aleksandrov, Introduction to General Theory of Sets and Functions [in Russian], Gostekhizdat. Moscow (1948).
[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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Published
Nov 01, 1967
Vol/Issue
8(6)
Pages
951-968
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I. A. Danelitch (1967). A necessary and sufficient condition for lebesgue surface measurability. Estimates for surface measure of a borel set on a measurable surface. Siberian Mathematical Journal, 8(6), 951-968. https://doi.org/10.1007/bf02196403