References
M. A. Krasnosel'skiî, et al. Integral Operators in the Spaces of Summable Functions [in Russian], Nauka, Moscow (1966).
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).
S. M. Nikol'skiî, Approximations of Functions of Several Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators [Russian translation], Mir, Moscow (1980).
V. A. Solonnikov, “A priori estimates for a second-order parabolic equation,” Trudy Mat. Inst. Steklov.,70, 133–212 (1964).
P. E. Sobolevskiî, “Coercivity inequalities for abstract parabolic equations,” Dokl. Akad. Nauk SSSR,157, No. 2, 52–55 (1964).
P. Grisvard, “Commutativé de deux foncteurs d'interpolation et applications,” J. Math. Pures Appl.,45, 143–206 (1966).
P. Grisvard, “Equations differentielles abstraites,” Ann. Sci. École Norm. Sup. (4),2, 311–395 (1969).
H. Komatsu, “Fractional powers of operators. II. Interpolation Spaces,” Pacific J. Math.,21, 89–111 (1967).
V. P. Anosov and P. E. Sobolevskiî, “On coercive solvability of parabolic equations,” Mat. Zametki,11, No. 4, 409–419 (1972).
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.
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).
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).
G. H. Hardy, D. E. Littlewood and G. Pólya, Inequalities [Russian translation], Izdat. Inostr. Lit., Moscow (1948).
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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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DOI: https://doi.org/10.1007/BF02104564