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Multiplicative Estimates for Derivatives on a Domain

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Abstract

Multiplicative estimates of the \(L_p\)-norms of derivatives of a function on a domain with flexible cone condition are established.

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References

  1. E. Gagliardo, “Ulteriori proprietà di alcune classi di funzioni in pi\‘u variabili,” Ricerche Mat. 8, 24–51 (1959).

    MathSciNet  MATH  Google Scholar 

  2. L. Nirenberg, “On elliptic partial differential equations,” Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 13, 115–162 (1959).

    MathSciNet  MATH  Google Scholar 

  3. O. V. Besov, V. P. Il’in, and S. M. Nikol’skii, Integral Representations of Functions and Embedding Theorems (Nauka, Moscow, 1996) [in Russian].

    MATH  Google Scholar 

  4. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators (Birkhäuser, Berlin, 1977).

    MATH  Google Scholar 

  5. L. Hörmander, Estimates for Translation-Invariant Operators in \(L^p\) Spaces (Uppsala, 1960).

    Book  Google Scholar 

  6. O. V. Besov, “Equivalent normings of the Sobolev–Liouville space on a domain,” in Investigations in the Theory of Differentiable Functions of Many Variables and Its Applications. Part 14, Proc. Steklov Inst. Math. (Nauka, Moscow, 1993), Vol. 194, pp. 13–30.

    MathSciNet  Google Scholar 

  7. S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics (Nauka, Moscow, 1988) [in Russian].

    MATH  Google Scholar 

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, 119991, Moscow, Russia

    O. V. Besov

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  1. O. V. Besov
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Correspondence to O. V. Besov.

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Besov, O.V. Multiplicative Estimates for Derivatives on a Domain. Math Notes 108, 492–498 (2020). https://doi.org/10.1134/S0001434620090217

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  • DOI: https://doi.org/10.1134/S0001434620090217

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