Skip to main content
SpringerLink
Log in

One property of functors of the real interpolation method

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. I. Berg and I. Löfstrom, Interpolation Spaces. Introduction [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  2. S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. J. Peetre, “A theory of interpolation of normed spaces,” Notes Math.,39, 1–86 (1968).

    Google Scholar 

  4. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  5. N. Aronszajn and E. Gagliardo, “Interpolation spaces and interpolation methods,” Ann. Math. Pure Appl.,24, No. 2, 113–190 (1964).

    Google Scholar 

  6. S. Janson, “Minimal and maximal methods of interpolation,” J. Functional Analysis,44, No. 1, 50–73 (1981).

    Google Scholar 

  7. S. V. Astashkin, “A description of interpolation spaces betweenl 1(ω1)) andl ∞(ω0 l ∞ω0) Mat. Zametki,35, No. 4, 497–503 (1984).

    Google Scholar 

  8. V. I. Dmitriev, S. G. Krein, and V. I. Ovchinnikov, “Fundamentals of the interpolation theory of linear operators,” in: Geometry of Linear Spaces and Operator Theory [in Russian], Yaroslavl (1977), pp. 31–74.

  9. I. U. Asekritova, “On theK-functional of the pairK Φ(\(\mathop X\limits^ \to \)),K Φ,(\(\mathop X\limits^ \to \)))” in: Studies in the Theory of Functions of Many Real Variables [in Russian], Yaroslavl (1980), pp. 3–32.

  10. Yu. A. Brudnyi and N. Ya. Kruglyak, “Real interpolation functors,” Dep. VINITI, No. 2620–81.

  11. P. Nilsson, “Reiteration theorems for real interpolation and approximation spaces,” Lund, LTH (1982).

    Google Scholar 

  12. V. I. Dmitriev and V. I. Ovchinnikov, “On interpolation in spaces of the real method,” Dokl. Akad. Nauk SSSR,246, No. 4, 794–797 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kuibyshev State University, USSR

    S. V. Astashkin

Authors
  1. S. V. Astashkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 38, No. 3, pp. 393–406, September, 1985.

In conclusion, the author expresses his deep gratitude to E. M. Semenov and V. I. Ovchinnikov for valuable discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Astashkin, S.V. One property of functors of the real interpolation method. Mathematical Notes of the Academy of Sciences of the USSR 38, 725–732 (1985). https://doi.org/10.1007/BF01163708

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01163708

Keywords

Search

Navigation