Skip to main content
SpringerLink
Log in

Bounds for derivatives by means of differential operators

  • Published:
Siberian Mathematical Journal 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.

Literature Cited

  1. N. Aronszajn, “On coercive integro-differential quadratic forms,” Conference on Partial Differential Equations, University of Kansas Report No. 14, 94–106 (1954).

    Google Scholar 

  2. S. Agmon, A. Douglis, and L. Nirenberg, “Estimates of solutions of elliptic equations near the boundary” [Russian translation], (1962).

  3. K. T. Smith, “Inequalities for formally positive integro-differential forms,” Bull. Amer. Math. Soc., 67, 368–370 (1961).

    Google Scholar 

  4. J. Necas, “Sur les norms equivalentes dans Wp (k) (Ω) et sur les coercitivite des formes formallement positives,” Seminaire de Mathematiques superieures, Ete (1965).

  5. O. V. Besov, “On coerciveness in nonisotropic Sobolev spaces,” Mat. Sbornik,73, No. 4, 585–599 (1967).

    Google Scholar 

  6. G. G. Kazaryan, “Estimates in Lp of mixed derivatives by means of differential polynomials,” Trudy Mat. Inst. Steklova Akad. Nauk SSSR,105 (in press).

  7. V. P. Il'in “On inequalities between norms of partial derivatives of functions of several variables,” Trudy Mat. Inst. Steklova Akad. Nauk SSSR,84, 144–173 (1965).

    Google Scholar 

  8. Van der Waerden, Modern Algebra [Russian translation], Part 2, Gostekhizdat (1947).

  9. V. P. Il'in, “Integral representations of differentiable functions and their application to questions of the continuation of functions of class\(W_p (\mathop l\limits^--- )(\Omega )\),” Sibirsk. Mat. Zhurnal,9, No. 3 573–586 (1967).

    Google Scholar 

  10. S. L. Sobolev, Applications of Functional Analysis in Mathematical Physics, Novosibirsk (1962).

  11. A. P. Calderón and A. Zygmund, “On the existence of certain singular integrals,” Acta Math.,88, 85–139 (1952).

    Google Scholar 

  12. O. V. Besov, “Continuation of functions from L lp and W (l)p ,” Trudy Mat. Inst. Steklova Akad. Nauk SSSR,89, 5–17 (1967).

    Google Scholar 

Download references

Authors
  1. G. G. Kazaryan
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 11, No. 2, pp. 343–357, March–April, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kazaryan, G.G. Bounds for derivatives by means of differential operators. Sib Math J 11, 259–270 (1970). https://doi.org/10.1007/BF00967300

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00967300

Keywords

Search

Navigation