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Book Review
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Book Information
Author(s):
L.C. Evans and R. Gariepy
Title:
Measure theory and fine properties of functions
Additional book information:
CRC Press, Boca Raton, Ann Arbor, and London, 1992, viii + 268 pp., US$59.95. ISBN 0-8493-7157-0
References:
-
- [DG1]
- E. DeGiorgi, Su una teoria generale misura
 -dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl. (4) 36 (1954), 191-213. MR 0062214 (15:945d) - [DG2]
- -, Frontiere orientate di misura minima, Sem. Mat. Scuola Norm. Sup. Pisa, 1960-61, Editrice Tecnico Scientifica, Pisa, 1961. MR 0179651 (31:3897)
- [F1]
- H. Federer, The Gauss-Green theorem, Trans. Amer. Math. Soc. 9 (1945), 44-76. MR 0013786 (7:199b)
- [F2]
- -, Geometric measure theory, Springer-Verlag, Berlin, Heidelberg, and New York, 1969. MR 0257325 (41:1976)
- [F-R]
- W. Fleming and R. Rishel, An integral formula for the total gradient variation, Arch. Math. 11 (1960), 218-222. MR 0114892 (22:5710)
- [F-Z]
- H. Federer and W. Ziemer, The Lebesgue set of a function whose distribution derivatives are p-th power summable, Indiana Univ. Math. J. 22 (1972), 139-158. MR 0435361 (55:8321)
- [G]
- E. Giusti, Minimal surfaces and functions of bounded variation, Birkhäuser, Boston, 1984. MR 775682 (87a:58041)
- [S]
- L. Simon, Lectures on geometric measure theory, Centre for Mathematical Analysis, Australian National Univ., Canberra, 1984. MR 756417 (87a:49001)
- [V]
- A.I. Vol'pert, The spaces BV and quasi-linear equations, Mat. Sb. 73 (1967), 255-302 (Russian); English transl., Math. USSR Sb. 2 (1967), 225-267.
- [Z]
- W. Ziemer, Weakly differentiable functions, Springer-Verlag, Berlin and New York, 1989. MR 1014685 (91e:46046)
Additional Information:
Reviewer(s):
Robert
Hardt
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
285-288.
DOI:
10.1090/S0273-0979-1995-00579-3
PII:
S 0273-0979(1995)00579-3
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