Book Review
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MathSciNet review:
1567563
Full text of review:
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Book Information:
Author:
Hans Triebel
Title:
Theory of function spaces
Additional book information:
Monographs in Mathematics, Vol. 78, Birkhäuser Verlag, Basel, 1983, 284 pp., $34.95. ISBN 3-7643-1381-1.
1. O. V. Besov, V. P. Il'in and S. M. Nikol'skij, Integral representations of functions and imbedding theorems, Vols. 1, 2, V. H. Winston & Sons, Washington, D. C., 1978, 1979.
2. R. deVore, Review of "Interpolation theory,...", Bull. Amer. Math. Soc. (N.S.) 2 (1980), 339-345.
Michael Frazier and Björn Jawerth, Decomposition of Besov spaces, Indiana Univ. Math. J. 34 (1985), no. 4, 777–799. MR 808825, DOI 10.1512/iumj.1985.34.34041
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
5. S. Krantz, Review of "Integral representations of functions and imbedding theorems" by Oleg V. Besov, Bull. Amer. Math. Soc. (N.S.) 2 (1980), 216-222.
Jaak Peetre, New thoughts on Besov spaces, Duke University Mathematics Series, No. 1, Duke University, Mathematics Department, Durham, N.C., 1976. MR 0461123
7. M. Taibleson, Review of "Approximation of functions of several variables and imbedding theorems" by S. M. Nikol'skii, Bull. Amer. Math. Soc. 83 (1977), 335-343.
H. Triebel, Interpolation theory, function spaces, differential operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. MR 500580
- 1.
- O. V. Besov, V. P. Il'in and S. M. Nikol'skij, Integral representations of functions and imbedding theorems, Vols. 1, 2, V. H. Winston & Sons, Washington, D. C., 1978, 1979.
- 2.
- R. deVore, Review of "Interpolation theory,...", Bull. Amer. Math. Soc. (N.S.) 2 (1980), 339-345.
- 3.
- M. Frazier and B. Jawerth, Decompositions of Besov spaces (to appear). MR 0808825
- 4.
- S. M. Nikol'skij, Approximation of functions of several variables and imbedding theorems, Grundlehren Math. Wiss., Band 205, Springer-Verlag, 1975. MR 374877
- 5.
- S. Krantz, Review of "Integral representations of functions and imbedding theorems" by Oleg V. Besov, Bull. Amer. Math. Soc. (N.S.) 2 (1980), 216-222.
- 6.
- J. Peetre, New thoughts on Besov spaces, Duke Univ. Math. Ser., Durham, N. C., 1976. MR 461123
- 7.
- M. Taibleson, Review of "Approximation of functions of several variables and imbedding theorems" by S. M. Nikol'skii, Bull. Amer. Math. Soc. 83 (1977), 335-343.
- 8.
- H. Triebel, Interpolation theory, function spaces, differential operators, North-Holland, 1978. MR 503903
Review Information:
Reviewer:
Raymond Johnson
Journal:
Bull. Amer. Math. Soc.
13 (1985), 76-80
DOI:
https://doi.org/10.1090/S0273-0979-1985-15376-5
