Skip to main content
SpringerLink
Log in

An integral formula for total gradient variation

  • Published:
Archiv der Mathematik 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

References

  1. H. Federer, Curvature measures. Trans. Amer. Math. Soc.93, 418–491 (1959).

    Google Scholar 

  2. H.Federer and W. H.Fleming, Normal and integral currents. Ann. of Math. (to appear).

  3. W. H.Fleming, Functions whose partial derivatives are measures. Illinois J.Math. (to appear).

  4. E. De Giorgi, Su una teoria generale della misura (r−1) dimensionale in uno spazio adr dimensioni. Ann. Mat. pura appl., IV. Ser.36, 191–213 (1954).

    Google Scholar 

  5. K. Krickeberg, Distributionen, Funktionen beschränkter Variation, und Lebesguescher Inhalt nichtparametrischer Flächen. Ann. Mat. pura appl., IV. Ser.44, 105–134 (1957).

    Google Scholar 

  6. A. S. Kronrod, On functions of two variables. Uspeci Mat. Nauk5, 24–134 (1950).

    Google Scholar 

  7. L. C.Young, Partial area I. (to appear).

Download references

Author information

Authors and Affiliations

  1. Brown University, R.I., USA

    Wendell H. Fleming & Raymond Rishel

Authors
  1. Wendell H. Fleming
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Raymond Rishel
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fleming, W.H., Rishel, R. An integral formula for total gradient variation. Arch. Math 11, 218–222 (1960). https://doi.org/10.1007/BF01236935

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236935

Keywords

Search

Navigation