Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Composition of functions in Sobolev spaces

  • 373 Accesses

  • 6 Citations

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

Literature cited

  1. 1.

    D. A. Adams, “On the existence of capacitary strong estimates in Rn,” Ark. Mat.,14, 125–140 (1976).

  2. 2.

    M. S. Agranovich, “Elliptic singular integrodifferential operators,” Usp. Mat. Nauk,20, No. 5, 3–120 (1965).

  3. 3.

    B. E. J. Dahlberg, “A note on Sobolev spaces,” Proc. Symp. Pure Math.,35, Part I, 183–185 (1979).

  4. 4.

    M. Marcus and V. J. Mizel, “Absolute continuity on tracks and mappings of Sobolev spaces,” Arch. Rat. Mech. Anal.,45, No. 4, 294–320 (1972).

  5. 5.

    M. Marcus and V. J. Mizel, “Complete characterization of functions which act, via superposition, on Sobolev spaces,” Trans. Am. Math. Soc.,251., 187–218 (1979).

  6. 6.

    J. Moser, “A fast converging iterational method and nonlinear differential equations,” Usp. Mat. Nauk,23, No. 4, 179–238 (1968).

  7. 7.

    S. M. Nikol'skii, Approximation of Functions of Several Variables and Embedding Theorems, Springer-Verlag (1974).

  8. 8.

    L. Nirenberg,“On elliptic partial differential equations,” Ann. Scuola Norm. Sup. Pisa, Ser.3, 13, No. 2, 115–162 (1959).

Download references

Author information

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 3, pp. 384–388, May–June, 1982.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Moseenkov, V.B. Composition of functions in Sobolev spaces. Ukr Math J 34, 316–319 (1982).

Download citation


  • Sobolev Space