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Book Review

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Book Information

Author(s): E. Stein
Title: Harmonic analysis real-variable methods, orthogonality, and oscillatory integrals
Additional book information: Princeton Univ. Press, Princeton, NJ, 1993, xiii+695, $85.00, ISBN 0-691-03216-5

References:

[B]
J. Bourgain, Averages in the plane over convex curves and maximal operators, J. Anal. Math. 47 (1986), 69-85. MR 88f:42036

[Ca1]
L. Carleson, Interpolation by bounded analytic functions and the corona problem, Ann. of Math. 76 (1962), 547-559. MR 25:5186

[Ca2]
L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157. MR 33:7774

[Co]
R.R. Coifman, A real-variable characterization of $H^{p}$, Studia Math. 51 (1974), 269-274. MR 50:10784

[CF]
R.R. Coifman, C. Fefferman, Weighted norm inequalities for maximal functions and singular integrals, Studia Math. 51 (1974), 241-250. MR 50:10670

[CW]
R.R. Coifman, G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. MR 56:6264

[DJ]
G. David, J.-L. Journé, A boundedness criterion for generalized Calderón-Zygmund operators, Ann. of Math. 120 (1984), 371-397. MR 85k:42041

[FR]
E. Fabes, N. Rivière, Singular integrals with mixed homogeneity, Studia Math. 27 (1966), 19-38. MR 35:683

[F1]
C. Fefferman, Characterizations of bounded mean oscillation, Bull. Amer. Math. Soc. 77 (1971), 587-588. MR 43:6713

[F2]
C. Fefferman, The multiplier problem for the ball, Ann. of Math. 94 (1971), 330-336. MR 45:5661

[FS]
C. Fefferman, E.M. Stein, $H^{p}$ spaces of several variables, Acta Math. 129 (1972), 137-193. MR 56:6263

[Ho]
L. Hörmander, Hypoelliptic second-order differential equations, Acta Math. 119 (1967), 147-171. MR 36:5526

[Hu]
R. Hunt, On the convergence of Fourier series, in ``Orthogonal Expansions and Their Continuous Analogues'' (D. Haimo ed.) Southern Illinois Univ. Press, Carbondale, IL (1968), 235-255. MR 38:6296

[HMW]
R. Hunt, B. Muckenhoupt, R. Wheeden, Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc. 176 (1973), 227-251. MR 47:701

[JN]
F. John, L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415-426. MR 24:A1348

[KS]
A.W. Knapp, E.M. Stein, Intertwining operators for semi-simple groups, Ann. of Math. 93 (1971), 489-578. MR 57:536

[L]
H. Lewy, An example of a smooth linear partial differential equation without solutions, Ann. of Math. 66 (1957), 155-158. MR 19:551d

[M]
B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226. MR 45:2461

[PS]
D.H. Phong, E.M. Stein, The Newton polyhedron and oscillatory integral operators, Acta Math. 179 (1997), 105-152. MR 98j:42009

[Sc]
H. Schulz, Convex hypersurfaces of finite type and the asymptotics of their Fourier transforms, Indiana Univ. Math. J. 40 (1991), 1267-1275. MR 93a:42007

[SSS]
A. Seeger, C. Sogge, E.M. Stein, Regularity properties of Fourier integral operators, Ann. of Math. 134 (1991), 231-251. MR 92g:35252

[S1]
E.M. Stein, Maximal functions: Spherical means, Proc. Natl. Acad. Sci. U.S.A. 73 (1976), 2174-2175. MR 54:8133a

[S2]
E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, 1970. MR 44:7280

[SW1]
E.M. Stein, G. Weiss, Generalizations of the Cauchy-Riemann equations and representations of the rotation group, Amer. J. Math. 90 (1968), 163-196. MR 36:6540

[SW2]
E.M. Stein, G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton, 1971. MR 46:4102

[V]
A.N. Varcenko, Newton polyhedra and estimation of oscillatory integrals, Funct. Anal. Appl. 10 (1976), 175-196. MR 54:10248

Additional Information:

Reviewer(s):
Fulvio Ricci
Affiliation: Politecnico di Torino
Email: fricci@polito.it

Review Information:
Journal: Bull. Amer. Math. Soc. 36 (1999), 505-521.

MSC (1991): Primary 42B20, 42B25, 35S05, 35S30
DOI: 10.1090/S0273-0979-99-00792-2
PII: S 0273-0979(99)00792-2
Posted: July 21, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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