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On traces of functions in abstract spaces of L. N. Slobodetskiî

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References

  1. M. A. Krasnosel'skiî, et al. Integral Operators in the Spaces of Summable Functions [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  2. L. N. Slobodetskiî, “Sobolev spaces of fractional order and their applications to boundary value problems for partial differential equations,” Dokl. Akad. Nauk SSSR,118, No 8, 243–246 (1991).

    Google Scholar 

  3. S. M. Nikol'skiî, Approximations of Functions of Several Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  4. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  5. V. A. Solonnikov, “A priori estimates for a second-order parabolic equation,” Trudy Mat. Inst. Steklov.,70, 133–212 (1964).

    Google Scholar 

  6. P. E. Sobolevskiî, “Coercivity inequalities for abstract parabolic equations,” Dokl. Akad. Nauk SSSR,157, No. 2, 52–55 (1964).

    Google Scholar 

  7. P. Grisvard, “Commutativé de deux foncteurs d'interpolation et applications,” J. Math. Pures Appl.,45, 143–206 (1966).

    Google Scholar 

  8. P. Grisvard, “Equations differentielles abstraites,” Ann. Sci. École Norm. Sup. (4),2, 311–395 (1969).

    Google Scholar 

  9. H. Komatsu, “Fractional powers of operators. II. Interpolation Spaces,” Pacific J. Math.,21, 89–111 (1967).

    Google Scholar 

  10. V. P. Anosov and P. E. Sobolevskiî, “On coercive solvability of parabolic equations,” Mat. Zametki,11, No. 4, 409–419 (1972).

    Google Scholar 

  11. V. P. Anosov, “On coercive solvability of abstract parabolic equations,” in: Well-Posed Boundary Value Problems for Nonclassical Equations [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1990, pp. 123–136.

    Google Scholar 

  12. M. H. Taibleson, “On the theory of Lipschitz spaces of distributions on Euclideann-space. I, II,” J. Math. Mech.,13, 407–479 (1964);14, 821–839 (1965).

    Google Scholar 

  13. Yu. A. Dubinskiî, “Boundary value problems for some classes of higher-order operator-differential equations,” Dokl. Akad. Nauk SSSR,196, No. 1, 32–34 (1971).

    Google Scholar 

  14. G. H. Hardy, D. E. Littlewood and G. Pólya, Inequalities [Russian translation], Izdat. Inostr. Lit., Moscow (1948).

    Google Scholar 

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Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 35, No. 5, pp. 974–989, September–October, 1994.

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Anosov, V.P. On traces of functions in abstract spaces of L. N. Slobodetskiî. Sib Math J 35, 863–877 (1994). https://doi.org/10.1007/BF02104564

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