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Book Review
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Book Information
Author(s):
Guy David and Stephen Semmes
Title:
Analysis of and on uniformly rectifiable sets
Additional book information:
Math Surveys Monographs, vol. 38, Amer. Math. Soc., Providence, RI, 1993, xii + 356 pp., US$98.00. ISBN 0-8218-1537-7
References:
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- A. P. Calderón, Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Acad. Sci. U.S.A. 74 (1977), 1324-1327. MR 0466568 (57:6445)
- [CMM]
- R. R. Coifman, A. McIntosh and Y. Meyer, L'intégrale de Cauchy définit un opérateur borné sur
pour les courbes lipschitziennes, Ann. of Math. (2) 116 (1982), 361-388. MR 672839 (84m:42027) - [D1]
- G. David, Opérateurs integraux singuliers sur certaines courbes du plan complexe, Ann. Sci. École Norm. Sup. (4) 17 (1984), 157-189. MR 744071 (85k:42026)
- [D2]
- -, Opérateurs d'integrale singuliere sur les surfaces régulières, Ann. Sci. École Norm. Sup. (4) 21 (1988), 225-258. MR 956767 (89m:42014)
- [DS]
- G. David and S. Semmes, Singular integrals and rectifiable sets in
: au-delà des graphes lipschitziens, Astérisque 193 (1991), 1-145. - [D]
- J. R. Dorronsoro, A characterization of potential spaces, Proc. Amer. Math. Soc. 95 (1985), 21-31. MR 796440 (86k:46046)
- [F]
- K. J. Falconer, Geometry of fractal sets, Cambridge Univ. Press, Cambridge, 1985. MR 867284 (88d:28001)
- [Fe]
- H. Federer, Geometric measure theory, Springer-Verlag, Berlin and New York, 1969. MR 0257325 (41:1976)
- [J]
- P. W. Jones, Rectifiable sets and the traveling salesman problem, Invent. Math. 102 (1990), 1-15. MR 1069238 (91i:26016)
- [M]
- P. Mattila, Geometry of sets and measures in Euclidean spaces, Cambridge Univ. Press, Cambridge, 1995 (to appear). MR 1333890 (96h:28006)
- [S]
- S. Semmes, A criterion for the boundedness of singular integrals on hypersurfaces, Trans. Amer. Math. Soc. 311 (1989), 501-513. MR 948198 (89k:42017)
- [S1]
- E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, NJ, 1970. MR 0290095 (44:7280)
- [S2]
- -, Harmonic analysis: Real-variable methods, orthogonality, and oscillatory integrals, Princeton Univ. Press, Princeton, NJ, 1993. MR 1232192 (95c:42002)
Additional Information:
Reviewer(s):
Pertti
Mattila
Review Information:
Journal:
Bull. Amer. Math. Soc.
32
(1995),
322-325.
DOI:
10.1090/S0273-0979-1995-00588-4
PII:
S 0273-0979(1995)00588-4
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