Book Review
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MathSciNet review:
1567436
Full text of review:
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Book Information:
Authors:
G. B. Folland and
E. M. Stein
Title:
Hardy spaces on homogeneous groups
Additional book information:
Mathematical Notes, Princeton Univ. Press, Princeton, N. J., 1982, 284 pp., $13.00. ISBN 0-6910-8310-X.
Jöran Bergh and Jörgen Löfström, Interpolation spaces. An introduction, Grundlehren der Mathematischen Wissenschaften, No. 223, Springer-Verlag, Berlin-New York, 1976. MR 0482275
Ronald R. Coifman and Guido Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), no. 4, 569–645. MR 447954, DOI 10.1090/S0002-9904-1977-14325-5
Charles Fefferman, Harmonic analysis and $H^{p}$ spaces, Studies in harmonic analysis (Proc. Conf., DePaul Univ., Chicago, Ill., 1974) MAA Stud. Math., Vol. 13, Math. Assoc. Amer., Washington, D.C., 1976, pp. 38–75. MR 0461001
Roe W. Goodman, Nilpotent Lie groups: structure and applications to analysis, Lecture Notes in Mathematics, Vol. 562, Springer-Verlag, Berlin-New York, 1976. MR 0442149
S. G. Kreĭn and Ju. I. Petunin, Scales of Banach spaces, Uspehi Mat. Nauk 21 (1966), no. 2 (128), 89–168 (Russian). MR 0193499
Bernard Marshall, Walter Strauss, and Stephen Wainger, $L^{p}-L^{q}$ estimates for the Klein-Gordon equation, J. Math. Pures Appl. (9) 59 (1980), no. 4, 417–440. MR 607048
Elias M. Stein, Topics in harmonic analysis related to the Littlewood-Paley theory. , Annals of Mathematics Studies, No. 63, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1970. MR 0252961
- 1.
- J. Bergh and J. Löfström, Interpolation spaces, Grundlehren Math. Wiss. vol. 223, Springer-Verlag, Berlin and New York, 1976. MR 0482275
- 2.
- R. R. Coifman and G. Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc. 83 (1977), 569-645. MR 447954
- 3.
- C. Fefferman, Harmonic analysis and H, Studies in Harmonic Analysis (J. M. Ash, ed.), Math. Assoc. of America, Washington, D. C., 1976, pp. 38-75. MR 461001
- 4.
- R. Goodman, Nilpotent Lie groups: Structure and applications to analysis, Lecture Notes in Math., vol. 562, Springer-Verlag, Berlin and New York, 1976. MR 442149
- 5.
- S. G. Krein and Yu. I. Petunin, Scales of Banach spaces, Russian Math. Surveys 21 (1966), 85-159. MR 193499
- 6.
- B. Marshall, W. Strauss, and S. Wainger, L, J. Math. Pures Appl. 59 (1980), 417-440. MR 607048
- 7.
- E. M. Stein, Topics in harmonic analysis related to the Littlewood-Paley theory, Ann. of Math. Studies, no. 63, Princeton Univ. Press, Princeton, N. J., 1970. MR 252961
Review Information:
Reviewer:
Roe Goodman
Journal:
Bull. Amer. Math. Soc.
8 (1983), 505-507
DOI:
https://doi.org/10.1090/S0273-0979-1983-15141-8