Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

The Kolmogoroff principle for the Lebesgue area


Authors: R. G. Helsel and E. J. Mickle
Journal: Bull. Amer. Math. Soc. 54 (1948), 235-238
DOI: https://doi.org/10.1090/S0002-9904-1948-08988-1
This work is cited by: Bull. Amer. Math. Soc., Volume 55, Number 2 (1949), 160--164
MathSciNet review: 0023891
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. R. G. Helsel, A theorem on surface area, Trans. Amer. Math. Soc. vol. 61 (1947) pp. 443-453. MR 20625
  • 2. M. D. Kirszbraun, Über die zusammenziehende und Lipschitzsche Transformationen, Fund. Math. vol. 22 (1934) pp. 77-108.
  • 3. A. Kolmogoroff, Beiträge zur Maßtheorie, Math. Ann. 107 (1933), no. 1, 351–366 (German). MR 1512805, https://doi.org/10.1007/BF01448898
  • 4. Hans Rademacher, Über partielle und totale differenzierbarkeit von Funktionen mehrerer Variabeln und über die Transformation der Doppelintegrale, Math. Ann. 79 (1919), no. 4, 340–359 (German). MR 1511935, https://doi.org/10.1007/BF01498415
  • 5. Tibor Radó, Über das Flächenmaß rektifizierbarer Flächen, Math. Ann. 100 (1928), no. 1, 445–479 (German). MR 1512495, https://doi.org/10.1007/BF01448856
  • 6. P. V. Reichelderfer, The effect of a Lipschitzian transformation on the area of a continuous surface. Bull. Amer. Math. Soc. Abstract 53-5-225. MR 21968
  • 7. J. W. T. Youngs, The additivity of the Lebesgue area, Bull. Amer. Math. Soc. vol. 49 (1943) pp. 779-784. MR 8839


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1948-08988-1

American Mathematical Society