Book Review
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MathSciNet review:
1567215
Full text of review:
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Book Information:
Authors:
Oleg V. Besov,
Valentin P. Il′in and
Sergei M. Nikol′skiĭ
Title:
Integral representations of functions and imbedding theorems
Additional book information:
with an introduction by Mitchell H. Taibleson, V. H. Winston & Sons, Washington, D. C., vol. I, 1978, viii + 245 pp., vol. II, 1979, viii + 311 pp., $19.95 per volume.
Robert A. Adams, Sobolev spaces, Pure and Applied Mathematics, Vol. 65, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0450957
Paul L. Butzer and Hubert Berens, Semi-groups of operators and approximation, Die Grundlehren der mathematischen Wissenschaften, Band 145, Springer-Verlag New York, Inc., New York, 1967. MR 0230022
P. C. Greiner and E. M. Stein, Estimates for the $\overline \partial$-Neumann problem, Mathematical Notes, No. 19, Princeton University Press, Princeton, N.J., 1977. MR 0499319
Lars Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147–171. MR 222474, DOI 10.1007/BF02392081
S. M. Nikol′skiĭ, Approximation of functions of several variables and imbedding theorems, Die Grundlehren der mathematischen Wissenschaften, Band 205, Springer-Verlag, New York-Heidelberg, 1975. Translated from the Russian by John M. Danskin, Jr. MR 0374877
Linda Preiss Rothschild and E. M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1976), no. 3-4, 247–320. MR 436223, DOI 10.1007/BF02392419
Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
8. M. H. Taibleson, Review of "Approximation of functions of several variables and imbedding theorems", Bull. Amer. Math. Soc. 83 (1977), 335-343.
- 1.
- Robert Adams, Sobolev spaces, Academic Press, New York, 1975. MR 0450957
- 2.
- P. Butzer and H. Berens, Semi-groups of operators and approximations, Die Grundlehren der mathematischen Wissenschaften, Band 145, Springer-Verlag, New York, 1967. MR 230022
- 3.
- P. C. Greiner and E. M. Stein, Estimates for the $øverline \partial $-Neumann problem, Princeton Univ. Press, Princeton, N. J., 1977. MR 499319
- 4.
- L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119 (1967), 147-171. MR 222474
- 5.
- S. M. Nikol'skiĭ, Approximation of functions of several variables and imbedding theorems, Springer-Verlag, New York, 1975. MR 374877
- 6.
- L. P. Rothschild and E. M. Stein, Hypoelliptic differential operators and nilpotent groups, Acta Math. 137 (1977), 247-320. MR 436223
- 7.
- E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Univ. Press, Princeton, N. J., 1970. MR 290095
- 8.
- M. H. Taibleson, Review of "Approximation of functions of several variables and imbedding theorems", Bull. Amer. Math. Soc. 83 (1977), 335-343.
Review Information:
Reviewer:
Steven G. Krantz
Journal:
Bull. Amer. Math. Soc.
2 (1980), 216-222
DOI:
https://doi.org/10.1090/S0273-0979-1980-14727-8