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Optimal embedding of Bessel- and Riesz-type potentials

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References

  1. M. L. Goldman, Dokl. Math. 78, 814–818 (2008) [Dokl. Akad. Nauk 423, 14–18 (2008)].

    Article  Google Scholar 

  2. E. Sawyer, Studia Math. 96, 145–158 (1990).

    MATH  MathSciNet  Google Scholar 

  3. M. L. Goldman, Proc. Steklov Inst. Math. Russ. Acad. Sci. 232, 109–137 (2001) [Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 232, 115–143 (2001)].

    Google Scholar 

  4. A. Gogatishvili and L. Pick, Publ. Mat. 47, 311–358 (2003).

    MATH  MathSciNet  Google Scholar 

  5. M. L. Goldman, Dokl. Math. 75, 361–366 (2007) [Dokl. Akad. Nauk 414, 159–164 (2007)].

    Article  Google Scholar 

  6. C. Bennett and R. Sharpley, Pure Appl. Math. 129 (1988).

  7. E. M. Stein, Singular Integrals and Differentiability Properties of Functions (Princeton Univ. Press, Princeton, 1970; Mir, Moscow, 1973).

    MATH  Google Scholar 

  8. S. M. Nikol’skii, Approximation of Functions of Several Variables and Embedding Theorems (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  9. V. A. Il’in, Mat. Sb. 41(82), 459–480 (1957).

    MathSciNet  Google Scholar 

  10. V. A. Il’in, Usp. Mat. Nauk 23(2), 61–120 (1968).

    Google Scholar 

  11. M. L. Goldman, Differ. Uravn. 7, 2199–2210 (1971).

    Google Scholar 

  12. M. L. Goldman, Sib. Mat. Zh. 18, 549–569 (1977).

    Google Scholar 

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Original Russian Text © M.L. Goldman, 2009, published in Doklady Akademii Nauk, 2009, Vol. 428, No. 3, pp. 305–309.

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Goldman, M.L. Optimal embedding of Bessel- and Riesz-type potentials. Dokl. Math. 80, 689–693 (2009). https://doi.org/10.1134/S1064562409050159

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