Skip to main content
Log in

Imbedding theorems for classes of functions with mixed norms

  • 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

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. Ya. S. Bugrov, “Representation theorems for a class of functions,” Sibirskii Mat. Zhurnal.7, No. 2. 242–251 (1966).

    Google Scholar 

  2. S. M. Nikol'skii, “Functions with dominated mixed derivatives, satisfying a multiple Holder condition,” Sibirskii Mat. Zhurnal.4, No. 6, 1324–1364 (1963).

    Google Scholar 

  3. A. P. Uninskii, “Imbedding theorems for a class of functions with mixed norm,” Dokl. Akad. Nauk SSSR.166, No. 4. 806–808 (1966).

    Google Scholar 

  4. S. M. Nikol'skii, On a problem of S. L. Sobolev.-Sibirskii Mat. Zhurnal.3, No. 6, 845–851 (1962).

    Google Scholar 

  5. A. Benedek and R. Panzone, “The space Lp with mixed norm,” Duke Math. J.,28, No. 3, 302–324 (1961).

    Google Scholar 

  6. A. P. Uninskii, “Inequalities in the mixed norm for trigonometric polynomials and entire functions of finite degree,” Materials of the All-Union Symposium on Imbedding Theorerns, Baku, 1966.

  7. Ya. S. Bugrov. “Imbedding theorems for a class of functions with mixed norm.” Proceedings of the Third S'berian Conference on Mathematics and Mechanics. Izd. Tomsk Un-ta (1964). p. 54.

  8. S. M. Nikol'skii, “Inequalities for entire functions of finite degree and their application in the theory of differentiable functions of several variables.” Trudy. Mat. Institute. Akad. Nauk SSSR. 38 (1951).

  9. Ya. S. Bugrov, “On the continuation of functions,” Dokl. Akad. Nauk SSSR.150, No. 6, 1191–1194 (1963).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 10. No. 1. pp. 158–171. January–February, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Uninskii, A.P. Imbedding theorems for classes of functions with mixed norms. Sib Math J 10, 114–123 (1969). https://doi.org/10.1007/BF01208414

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01208414

Keywords

Navigation