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Bulletin of the American Mathematical Society

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Book Review

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MathSciNet review: 1567698
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Julij A. Dubinskij
Title: Sobolev spaces of infinite order and differential equations
Additional book information: B. G. Teubner, Leipzig, and D. Reidel, Dordrecht, Boston, Lancaster, and Tokyo, 1986, 161 pp., $48.00. ISBN 90-277-2147-5.

References [Enhancements On Off] (What's this?)

  • 1. S. L. Sobolev, Applications of functional analysis in mathematical physics, Translated from the Russian by F. E. Browder. Translations of Mathematical Monographs, Vol. 7, American Mathematical Society, Providence, R.I., 1963. MR 0165337
  • 2. S. L. Sobolev, Vvedenie v teoriyu kubaturnykh formul, Izdat. “Nauka”, Moscow, 1974 (Russian). MR 0478560
  • 3. S. M. Nikol'skii, Approximation of functions of several variables and imbedding theorems, Springer-Verlag, Berlin, Heidelberg, New York, 1975 (transl. from Russian: "Nauka", Moscow, 1969, 1977). MR 46 #9714
  • 4. O. V. Besov, V. P. Il′in, and S. M. Nikol′skiĭ, Integral′nye predstavleniya funktsiĭ i teoremy vlozheniya, Izdat. “Nauka”, Moscow, 1975 (Russian). MR 0430771
  • 5. Shmuel Agmon, Lectures on elliptic boundary value problems, Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr. Van Nostrand Mathematical Studies, No. 2, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965. MR 0178246
  • 6. Jindřich Nečas, Les méthodes directes en théorie des équations elliptiques, Masson et Cie, Éditeurs, Paris; Academia, Éditeurs, Prague, 1967 (French). MR 0227584
  • 7. Robert A. Adams, Sobolev spaces, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1975. Pure and Applied Mathematics, Vol. 65. MR 0450957
  • 8. Vladimir G. Maz’ja, Sobolev spaces, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1985. Translated from the Russian by T. O. Shaposhnikova. MR 817985
  • 9. Alois Kufner, Oldřich John, and Svatopluk Fučík, Function spaces, Noordhoff International Publishing, Leyden; Academia, Prague, 1977. Monographs and Textbooks on Mechanics of Solids and Fluids; Mechanics: Analysis. MR 0482102
  • 10. Hans Triebel, Fourier analysis and function spaces (selected topics), Teubner Verlagsgesellschaft, Leipzig, 1977. With German and Russian summaries; Translated from the German. MR 0493311
  • 11. Hans Triebel, Spaces of Besov-Hardy-Sobolev type, BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1978. Teubner-Texte zur Mathematik; With German, French and Russian summaries. MR 581907
  • 12. Hans Triebel, Interpolation theory, function spaces, differential operators, North-Holland Mathematical Library, vol. 18, North-Holland Publishing Co., Amsterdam-New York, 1978. MR 503903
  • 13. H.-J. Schmeisser and H. Triebel, Topics in Fourier analysis and function spaces, Mathematik und ihre Anwendungen in Physik und Technik [Mathematics and its Applications in Physics and Technology], vol. 42, Akademische Verlagsgesellschaft Geest & Portig K.-G., Leipzig, 1987. MR 900143
  • 14. Alois Kufner, Weighted Sobolev spaces, Teubner-Texte zur Mathematik [Teubner Texts in Mathematics], vol. 31, BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1980. With German, French and Russian summaries. MR 664599
  • 15. Chan Dyk Van, Nelineĭ nye differentsial′nye uravneniya i funktsional′nye prostranstva beskonechnogo poryadka, Beloruss. Gos. Univ., Minsk, 1983 (Russian). Edited and with a preface by Yu. A. Dubinskiĭ. MR 718301
  • 16. Svatopluk Fučík and Alois Kufner (eds.), Nonlinear analysis, function spaces and applications, BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1979. Teubner-Texte zur Mathematik. [Teubner Texts in Mathematics]. MR 578906

Review Information:

Reviewer: Alois Kufner
Journal: Bull. Amer. Math. Soc. 19 (1988), 352-355
DOI: https://doi.org/10.1090/S0273-0979-1988-15673-X