Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Retrieve article in: PDF

Book Information

Author(s): Alberto Torchinsky
Title: Real variable methods in harmonic analysis
Additional book information: Pure and Applied Mathematics, vol. 123, Academic Press, Inc., Orlando, 1986, xii + 462 pp., $89.00 ($45.00 paper). ISBN 0-12-695460-7

Author(s): J. García-Cuerva and J. L. Rubio de Francia
Title: Weighted norm inequalities and related topics
Additional book information: Mathematical Studies, vol. 116, North-Holland, Amsterdam, New York, Oxford, 1985, x + 604 pp., ISBN 0-444-87804-1


References:

1.
D. Burkholder, R. Gundy and M. Silverstein, A maximal function characterization of the class H, Trans. Amer. Math. Soc. 157 (1971), 137-153. MR 274767
2.
A. P. Calderón, Cauchy integrals on Lipschitz curves and related operators, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1091-1099. MR 466568
3.
A. P. Calderón, Uniqueness in the Cauchy problem for partial differential equations, Amer. J. Math. 80 (1958), 16-36. MR 104925
4.
A. P. Calderón, Commutators, singular integrals on Lipschitz curves and applications, Internat. Congress Math., Helsinki, 1978, pp. 85-96. MR 562599
5.
A. P. Calderón and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85-139. MR 52553
6.
A. P. Calderón and A. Zygmund, On higher gradients of harmonic functions, Studia, Math. 24 (1964), 211-226. MR 167631
7.
S.-Y. A. Chang and R. Fefferman, Some recent developments in Fourier analysis on product domains, Bull. Amer. Math. Soc. (NS) 12 (1985), 1-44. MR 766959
8.
R. R. Coifman, A real variable characterization of H, Studia Math. 51 (1974), 269-274. MR 358318
9.
R. R. Coifman and M. de Guzmán, Singular integrals and multipliers on homogeneous spaces, Rev. Un. Mat. Argentina 25 (1970/1971), 137-143. MR 320644
10.
R. R. Coifman and Y. Meyer, Au-delà des opérateurs pseudodifférentiels, Astérisque 57, Soc. Math De France, 1978. MR 518170
11.
R. R. Coifman and Guido Weiss, Analyse harmonique non-commutative sur certains espaces homogènes, Lecture Notes in Math., vol. 242, Springer-Verlag, Berlin and New York, 1971. MR 499948
12.
R. R. Coifman and Guido Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. MR 447954
13.
G. David, Opérateurs de Calderón-Zygmund, Internat. Congress Math., Berkeley, 1986, pp. 890-899. MR 934291
14.
G. David and J.-L. Journé, A boundedness criterion for generalized Calderón-Zygmund operators, Ann. of Math. (2) 120 (1984), 371-397. MR 763911
15.
G. David, J.-L. Journé and S. Semmes, Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation, Rev. Mat. Ibero-Americana 1 (1985), 1-56. MR 850408
16.
P. L. Duren, Theory of H, Academic Press, New York, 1970. MR 268655
17.
C. Fefferman, Recent progress in classical Fourier analysis, Internat. Congress Math., Vancouver, 1974, pp. 95-118. MR 510853
18.
C. Fefferman and E. M. Stein, H, Acta Math. 129 (1972), 137-193. MR 447953
19.
M. Frazier and B. Jawerth, Decomposition of Besov spaces, Indiana Univ. Math. J. 34 (1985), 777-799. MR 808825
20.
M. Frazier and B. Jawerth, A discrete transform and decomposition of distribution spaces (submitted).
21.
F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415-426. MR 131498
22.
J.-L. Journé, Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón, Lecture Notes in Math., vol. 994, Springer-Verlag, Berlin and New York, 1983. MR 706075
23.
J. J. Kohn and L. Nirenberg, On the algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 269-305. MR 176362
24.
Y. Meyer, Ondelettes et opérateurs (to appear). MR 1085487
25.
E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N.J., 1970. MR 290095
26.
E. M. Stein, Some problems in harmonic analysis suggested by symmetric spaces and semi-simple Lie groups, Proc. Internat. Congr. Math., Nice 1 (1970), 173-189. MR 578903
27.
E. M. Stein, Beijing lectures in harmonic analysis, edited by Stein, Ann. of Math. Studies, no. 112, Princeton Univ. Press, Princeton, N. J., 1986. MR 864369
28.
E. M. Stein and Guido Weiss, On the theory of harmonic functions of several variables, Acta Math. 103 (1960), 26-62. MR 121579
29.
E. M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton, N. J., 1971. MR 304972
30.
E. M. Stein, Guido Weiss and Mary Weiss, H, Proc. Nat. Acad. Sci. U.S.A. (1964), 1035-1039.
31.
A. Zygmund, Trigonometric series, 2nd ed., Cambridge Univ. Press, Cambridge, 1959. MR 107776


Additional Information:

Reviewer(s):
Guido Weiss

Review Information:
Journal: Bull. Amer. Math. Soc. 20 (1989), 198-207.
DOI: 10.1090/S0273-0979-1989-15764-9
PII: S 0273-0979(1989)15764-9


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2008, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google