Skip to main content
Log in

To the Theory of Interpolation of Operators That are Bounded on Cones in Weighted Spaces of Numerical Sequences. II

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

We generalize earlier results on the interpolation property for triples of cones (Q0, Q1, Q) (where Q0, Q1, and Q are cones in weighted spaces of numerical sequences) with respect to some triple of weighted spaces of numerical sequences.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. M. Kaplitskii and A. K. Dronov, “On the theory of the interpolation of operators bounded on cones in weighted spaces of numerical sequences,” Zap. Nauchn. Semin. POMI, 424, 154–178 (2014).

    Google Scholar 

  2. V. M. Kaplitskii, “Interpolation of nonlinear operators in weighted L p-spaces,” Sib. Mat. Zh., 51, 316–329 (2010).

    MathSciNet  Google Scholar 

  3. L. Maligranda, “Interpolation of Lipschitz operators for the pairs of spaces (L p , L ) and (l p , c 0), 0 < p < ∞,” Funct. Approx. Comment. Math., 9, 107–115 (1980).

    MathSciNet  MATH  Google Scholar 

  4. J. Cerda and H. Coll, “Function cones and interpolation,” Math. Nachr., 278, 227–239 (2005).

    Article  MathSciNet  MATH  Google Scholar 

  5. A. K. Dronov, “On the existence of a basis in a complemented subspace of a nuclear Köthe space in the class (d 2),” Vladikavkaz Mat. Zh., 18, 9–20 (2016).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. M. Kaplitskii.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 456, 2017, pp. 107–113.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kaplitskii, V.M., Dronov, A.K. To the Theory of Interpolation of Operators That are Bounded on Cones in Weighted Spaces of Numerical Sequences. II. J Math Sci 234, 338–342 (2018). https://doi.org/10.1007/s10958-018-4009-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-018-4009-4

Navigation