Bulletin of the American Mathematical Society

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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.

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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

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

Shmuel Agmon, Lectures on elliptic boundary value problems, Van Nostrand Mathematical Studies, No. 2, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965. Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr. MR 0178246

Jindřich Nečas, Les méthodes directes en théorie des équations elliptiques, Masson et Cie, Éditeurs, Paris; Academia, Éditeurs, Prague, 1967 (French). MR 0227584

Robert A. Adams, Sobolev spaces, Pure and Applied Mathematics, Vol. 65, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0450957

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, DOI 10.1007/978-3-662-09922-3

Alois Kufner, Oldřich John, and Svatopluk Fučík, Function spaces, Monographs and Textbooks on Mechanics of Solids and Fluids, Mechanics: Analysis, Noordhoff International Publishing, Leyden; Academia, Prague, 1977. MR 0482102

Hans Triebel, Fourier analysis and function spaces (selected topics), B. G. Teubner Verlagsgesellschaft, Leipzig, 1977. With German and Russian summaries; Translated from the German. MR 0493311

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

H. Triebel, Interpolation theory, function spaces, differential operators, VEB Deutscher Verlag der Wissenschaften, Berlin, 1978. MR 500580

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

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

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

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

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S. L. Sobolev, Applications of functional analysis in mathematical physics, Amer. Math. Soc., Providence, R. I., 1963 (transl. from Russian: Izdat. Leningrad Gos. Univ., Leningrad, 1950). MR 29 #2674 MR 0165337

2.

S. L. Sobolev, Introduction to the theory of cubature formulae, "Nauka", Moscow, 1974. (Russian) MR 57 #18037 MR 478560

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'skii, Integral representations of functions and embedding theorems, Vols. 1 and 2, Scripta Series in Math., V. H. Winston & Sons, Washington, D. C., and Halsted Press, New York, Toronto, London, 1978 and 1979 (transl. from Russian: "Nauka", Moscow, 1975). MR 80f:46030a, b MR 430771

5.

S. Agmon, Lectures on elliptic boundary value problems, D. Van Nostrand Co., Princeton, Toronto, London, 1965. MR 31 #2504 MR 178246

6.

J. Nečas, Les méthodes directes en théorie des équations elliptiques, Masson, Paris, and Academia, Prague, 1967. MR 37 #3168 MR 227584

7.

R. A. Adams, Sobolev spaces, Pure and Applied Math., vol. 65, Academic Press, New York, London, 1975. MR 56 #9247 MR 450957

8.

V. G. Maz'ja, Sobolev spaces, Springer Series in Soviet Math., Springer-Verlag, Berlin and New York, 1985. MR 87g:46056 MR 817985

9.

A. Kufner, O. John and S. Fučík, Function spaces, Academia, Prague, and Noordhoff, Leyden, 1977. MR 58 #2189 MR 482102

10.

H. Triebel, Fourier analysis and function spaces, Teubner-Texte zur. Math., vol. 7, Teubner-Verlag, Leipzig, 1977. MR 493311

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H. Triebel, Spaces of Besov-Hardy-Sobolev type, Teubner-Texte zur. Math., vol. 15, Teubner-Verlag, Leipzig, 1978. MR 82g:46071 MR 581907

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H. Triebel, Interpolation theory, function spaces, differential operators, North-Holland Math. Library 18, North-Holland, Amsterdam, New York and VEB Deutscher Verlag, Berlin 1978. MR 80i:46032a, b MR 503903

13.

H.-J. Schmeisser and H. Triebel, Topics in Fourier analysis and function spaces, Geest & Portig, Leipzig, and Wiley, Chichester, 1987. MR 900143

14.

A. Kufner, Weighted Sobolev spaces, Teubner-Texte zur Mathematik, vol. 31, Teubner-Verlag, Leipzig, 1980 (2nd ed.: Wiley, Chichester 1985). MR 84e:46029 MR 664599

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Chan Dyk Van, Nonlinear differential equations and infinite order function spaces, Beloruss, L. Gos. Univ., Minsk, 1983. (Russian) MR 86f:46032 MR 718301

16.

Nonlinear analysis, function spaces and applications, Proc. Spring School (S. Fučík and A. Kufner, eds. ), Teubner-Texte zur Math., vol. 19, Teubner-Verlag, Leipzig, 1979. MR 81e:46001 MR 578906