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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 $(r-1)$-dimensionale in uno spazio ad $r$ dimensioni, Ann. Mat. Pura Appl. (4) \textbf{36} (1954), 191--213.
- [DG2]
- E.~DeGiorgi, Frontiere orientate di misura minima, Sem. Mat. Scuola Norm. Sup. Pisa, 1960--61, Editrice Tecnico Scientifica, Pisa, 1961.
- [F1]
- H.~Federer, The Gauss-Green theorem, Trans. Amer. Math. Soc. \textbf{9} (1945), 44--76.
- [F2]
- H.~Federer, Geometric measure theory, Springer-Verlag, Berlin, Heidelberg, and New York, 1969.
- [F-R]
- W.~Fleming and R.~Rishel, An integral formula for the total gradient variation, Arch. Math. \textbf{11} (1960), 218--222.
- [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. \textbf{22} (1972), 139--158.
- [G]
- E.~Giusti, Minimal surfaces and functions of bounded variation, Birkh\"auser, Boston, 1984.
- [S]
- L.~Simon, Lectures on geometric measure theory, Centre for Mathematical Analysis, Australian National Univ., Canberra, 1984.
- [V]
- A.I.~Vol'pert, The spaces BV and quasi-linear equations, Math. USSR Sb. \textbf{2} (1967), 225--267. (Russian)
- [Z]
- W.~Ziemer, Weakly differentiable functions, Springer-Verlag, Berlin and New York, 1989.
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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