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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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:

Bibliography

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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)

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R. R. Coifman, A. McIntosh and Y. Meyer, L'intégrale de Cauchy définit un opérateur borné sur $ {L^2}$ pour les courbes lipschitziennes, Ann. of Math. (2) 116 (1982), 361-388. MR 672839 (84m:42027)

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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)

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-, 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 $             {\mathbb{R}^{n}}$: au-delà des graphes lipschitziens, Astérisque 193 (1991), 1-145.

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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)

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P. W. Jones, Rectifiable sets and the traveling salesman problem, Invent. Math. 102 (1990), 1-15. MR 1069238 (91i:26016)

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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)

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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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