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A mollifying operator with a variable radius, and an inverse theorem on traces

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Literature Cited

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

    Google Scholar 

  2. O. V. Besov, V. P. Il'in, and S. M. Nikol'skii, Integral Representations of Functions and Embedding Theorem [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  3. S. V. Uspenskii, “Embedding theorems for weighted classes,” Tr. Mat. Inst. Steklov,60, 282–303 (1961).

    Google Scholar 

  4. V. I. Burenkov, “The density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set,” Tr. Mat. Inst. Steklov,131, 39–50 (1974).

    Google Scholar 

  5. V. I. Burenkov, “Mollifying operators with variable step and their application to approximation by infinitely differentiable functions,” in: Nonlinear Analysis. Function Spaces and Applications, Vol. 2, Teubner, Leipzig (1982), pp. 5–37.

    Google Scholar 

  6. V. I. Burenko, “Regularized distance,” Tr. Mosk. Inst. Radiotekh. Elektron i Avtomat, No. 67, Matematika, 113–117 (1973).

    Google Scholar 

  7. L. D. Kudryavtsev, “Direct and inverse embedding theorems. Application to the solution of elliptic equations by the variational method,” Trudy Mat. Inst. Steklov,55, 1–181 (1959).

    Google Scholar 

  8. A. P. Calderon and A. Zygmund, “Local properties of solutions of elliptic partial differential equations,” Stud. Math.,20, 217–225 (1961).

    Google Scholar 

  9. E. Stein, Singular Integrals and Differential Properties of Functions [Russian translation], Mir, Moscow (1973).

    Google Scholar 

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Zelenyi Settlement, Moscow Region. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 26, No. 6, pp. 141–152, November–December, 1985.

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Shan'kov, V.V. A mollifying operator with a variable radius, and an inverse theorem on traces. Sib Math J 26, 891–901 (1985). https://doi.org/10.1007/BF00969111

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  • DOI: https://doi.org/10.1007/BF00969111

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