On Geöcze’s problem for non-parametric surfaces
HTML articles powered by AMS MathViewer
- by H. P. Mulholland PDF
- Trans. Amer. Math. Soc. 68 (1950), 330-336 Request permission
References
- Herbert Federer, Surface area. I, Trans. Amer. Math. Soc. 55 (1944), 420–437. MR 10610, DOI 10.1090/S0002-9947-1944-0010610-1
- Harry D. Huskey, Further contributions to the problem of Geöcze, Duke Math. J. 11 (1944), 333–339. MR 10612
- Antonio Mambriani, Sul problema di Geöcze, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 13 (1944), 1–17 (1948) (Italian). MR 23890
- H. P. Mulholland, On the total variation of a function of two variables, Proc. London Math. Soc. (2) 46 (1940), 290–311. MR 1830, DOI 10.1112/plms/s2-46.1.290 —, Solution of Geöcze’s problem for a continuous surface $z = f(x,y)$, to be published in Proc. London Math. Soc.
- Tibor Radó, On a problem of Geöcze, Amer. J. Math. 65 (1943), 361–381. MR 8254, DOI 10.2307/2371961
- Tibor Radó, Some remarks on the problem of Geöcze, Duke Math. J. 11 (1944), 497–506. MR 11116 —, Length and area, Amer. Math. Soc. Colloquium Publications, vol. 30, New York, 1948. S. Saks, Theory of the integral, 2d ed., Warsaw, 1937. L. Tonelli, Sulla quadratura delle superficie, Rendiconti della R. Accademia Nazionale Lincei (6) vol. 3 (1926) pp. 445-450 and 633-638.
- L. C. Young, An expression connected with the area of a surface $z=F(x,y)$, Duke Math. J. 11 (1944), 43–57. MR 11114, DOI 10.1215/S0012-7094-44-01106-3 W. H. Young, On the area of surfaces, Proc. Royal Soc. London ser. A vol. 96 (1920) pp. 71-81.
Additional Information
- © Copyright 1950 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 68 (1950), 330-336
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9947-1950-0032008-5
- MathSciNet review: 0032008