Skip to main content
SpringerLink
Log in

A general strong law

  • Published:
Inventiones mathematicae Aims and scope

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. Banach, S., Saks, S.: Sur la convergence forte dans les champsL p. Studia Math.2, 51–67 (1930).

    Google Scholar 

  2. Chatterji, S.D.: AnL p-convergence theorem. Ann. Math. Statist.40, 1068–70 (1969).

    Google Scholar 

  3. Esseen, C., Bahr, B. von: Inequalities for ther th absolute moment of a sum of random variables, 1≦r≦2. Ann. Math. Statist.36, 299–303 (1965).

    Google Scholar 

  4. Komlós, J.: A generalization of a problem of Steinhaus. Acta Math. Acad. Sci. Hung.18, 217–229 (1967).

    Google Scholar 

  5. Loève, M.: Probability theory. New York: Van Nostrand 1955.

    Google Scholar 

  6. Pyke, R., Root, D.: On convergence inr-mean of normalized partial sums. Ann. Math. Statist.39, 379–381 (1968).

    Google Scholar 

  7. Révész, P.: On a problem of Steinhaus. Acta Math. Acad. Sci. Hung.16, 310–318 (1965)

    Google Scholar 

  8. Sawyer, S.: Maximal inequalities of weak type. Ann. of Math.84, 157–174 (1966).

    Google Scholar 

  9. Schreier, J.: Ein Gegenbeispiel zur Theorie der schwachen Konvergenz. Studia Math.2, 58–62 (1930).

    Google Scholar 

  10. Zygmund, A.: Trigonometric Series, 2nd edition (vols. I, II). Cambridge: Univ. Press 1959.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Montreal

    S. D. Chatterji

  2. Math. Institute, University of Copenhagen, Universitetsparken 5, Copenhagen, Denmark

    S. D. Chatterji

Authors
  1. S. D. Chatterji
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported by a grant of the National Research Council of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chatterji, S.D. A general strong law. Invent Math 9, 235–245 (1970). https://doi.org/10.1007/BF01404326

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01404326

Search

Navigation