Advertisement

Doklady Mathematics

, Volume 93, Issue 1, pp 78–81 | Cite as

On weighted Sobolev spaces on the real line

  • D. V. Prokhorov
  • V. D. Stepanov
  • E. P. Ushakova
Mathematics

Abstract

Precise descriptions of the spaces associated with weighted Sobolev spaces on the real line are given.

Keywords

Sobolev Space Steklov Institute Real Line DOKLADY Mathematic Precise Description 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Oinarov and M. Otelbaev, Differ. Uravn. 24, 584–591 (1988).MathSciNetGoogle Scholar
  2. 2.
    K. T. Mynbaev and M. Otelbaev, Weighted Function Spaces and the Spectrum of Differential Operators (Nauka, Moscow, 1988) [in Russian].zbMATHGoogle Scholar
  3. 3.
    B. Curgus and T. T. Read, J. Differ. Equations 184, 526–548 (2002).MathSciNetCrossRefGoogle Scholar
  4. 4.
    V. G. Maz’ya and I. E. Verbitsky, in Function Spaces, Interpolation Theory, and Related Topics: Proceedings of Jaak Peetre Conference, Lund, Sweden, 2000 (Lund, 2000), pp. 369–382.Google Scholar
  5. 5.
    D. V. Prokhorov and V. D. Stepanov, Sib. Math. J. 43 4, 694–707 (2002).MathSciNetCrossRefGoogle Scholar
  6. 6.
    V. G. Maz’ya, J. Comput. Appl. Math. 194, 94–114 (2006).MathSciNetCrossRefGoogle Scholar
  7. 7.
    M. G. Nasyrova and E. P. Ushakova, Proc. Steklov Inst. Math. 293, (2016) [in press].Google Scholar
  8. 8.
    C. Bennett and R. Sharpley, Interpolation of Operators (Academic, Boston, MA, 1988).zbMATHGoogle Scholar
  9. 9.
    S. P. Eveson, V. D. Stepanov, and E. P. Ushakova, Math. Nachr. 288, 877–897 (2015).MathSciNetCrossRefGoogle Scholar
  10. 10.
    R. Oinarov, J. London Math. Soc. (2) 48, 103–116 (1993).MathSciNetCrossRefGoogle Scholar
  11. 11.
    R. Oinarov, Complex Var. Elliptic Equations 56, 1021–1038 (2011).MathSciNetCrossRefGoogle Scholar
  12. 12.
    V. D. Stepanov and E. P. Ushakova, Proc. Steklov Inst. Math. 232, 290–309 (2001).MathSciNetGoogle Scholar
  13. 13.
    V. D. Stepanov and E. P. Ushakova, Proc. Steklov Inst. Math. 260, 254–278 (2008).MathSciNetCrossRefGoogle Scholar
  14. 14.
    V. D. Stepanov and E. P. Ushakova, Math. Inequal. Appl. 13, 449–510 (2010).MathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2016

Authors and Affiliations

  • D. V. Prokhorov
    • 1
  • V. D. Stepanov
    • 2
    • 3
  • E. P. Ushakova
    • 1
  1. 1.Computing Center, Far East BranchRussian Academy of SciencesKhabarovskRussia
  2. 2.Steklov Institute of MathematicsRussian Academy of SciencesMoscowRussia
  3. 3.Peoples Friendship UniversityMoscowRussia

Personalised recommendations