Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Linearly continuous functions of finite area

Author(s): Casper Goffman
Journal: Bull. Amer. Math. Soc. 72 (1966), 1055-1058.
MathSciNet review: 0206179
Retrieve article in: PDF

References | Additional information

References:

1.
L. Cesari, Sulle funzioni a variazione limitata, Ann. Scuola Norm. Sup. Pisa (2), 5 (1936), 299-313. MR 1556778
2.
L. Cesari, Surface area, Princeton, N. J., 1956. MR 74500
3.
J. W. Calkin, Functions of several variables and absolute continuity. I, Duke Math. J. 6 (1940), 170-186. MR 1278
4.
C. Goffman, Lower semicontinuity and area functionals. I. The nonparametric case, Rend. Circ. Mat. Palermo (2) 2 (1953), 203-235. MR 65628
5.
C. Goffman, Nonparametric surfaces given by linearly continuous functions, Acta Math. 103 (1960), 269-291. MR 116090
6.
C. Goffman, Approximation of nonparametric surfaces of finite area, J. Math. Mech. 12 (1963), 237-246. MR 153821
7.
C. Goffman, Coordinate invariance of linear continuity, Arch. Rational Mech. Anal. 20 (1965), 153-162. MR 183828
8.
C. Goffman and J. Serrin, Sublinear functions of measures and variational integrals, Duke Math. J. 31 (1964), 159-178. MR 162902
9.
K. Krickeberg, Distributionen, Funktionen beschrankter Variation, und Lebesguescher Inhalt nichtparametrischer Flachen, Ann. Mat. Pura Appl. IV, 44 (1957), 105-133. MR 95922
10.
J. H. Michael, The equivalence of two areas for nonparametric discontinuous surfaces, Illinois J. Math. 7 (1963), 59-78. MR 143877
11.
C. B. Morrey, Functions of several variables and absolute continuity. II, Duke Math. J. 6 (1940), 187-215. MR 1279


Additional Information:

DOI: 10.1090/S0002-9904-1966-11643-9
PII: S 0002-9904(1966)11643-9




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia