Skip to main content
SpringerLink
Log in

On the integrability andL 1-convergence of double Walsh series

  • Published:
Acta Mathematica Hungarica 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. N. J. Fine, On the Walsh functions,Trans. Amer. Math. Soc.,65 (1949), 372–414.

    Google Scholar 

  2. G. A. Fomin, Certain properties of orthogonal series, in Proc. Conf.Application of functional analysis in the approximation theory (Kalinin, 1970); pp. 165–169 (Russian).

  3. G. H. Hardy, On the convergence of certain multiple series,Proc. Cambridge Philosoph. Soc.;19 (1916– 1919), 86–95.

    Google Scholar 

  4. F. Móricz, On the integrability andL1-convergence of double trigonometric series,Studia Math.,98 (1991) (to appear).

  5. F. Móricz and F. Schipp, On the integrability andL 1-convergence of Walsh series with coefficients of bounded variation,J. Math. Anal. Appl.,146 (1990), 99–109.

    Article  Google Scholar 

  6. F. Schipp, Über die Größenordnung der Partialsummen der Entwicklung integrierbarer Funktionen nachW-Systemen,Acta Sci. Math. (Szèged),28 (1967), 123–134.

    Google Scholar 

  7. A. H. Siddiqi, Walsh—Fourier series with monotone coefficients,Aligarh Bull. Math.;1 (1971), 25–29.

    Google Scholar 

  8. S. Yano, On Walsh—Fourier series,Tôhoku Math. J.,3 (1951), 223–242.

    Google Scholar 

  9. A. Zygmund,Trigonometric series, Univ. Press (Cambridge, 1959).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bolyai Institute, University of Szeged, Aradi Vértanúk Tere 1, 6720, Szeged, Hungary

    F. Móricz

  2. Institute of Information, University of Budapest, Múzeum krt. 6-8, 1088, Budapest, Hungary

    F. Schipp

Authors
  1. F. Móricz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Schipp
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was completed while the authors were visiting professors at the University of Tennessee, Knoxville, during the academic year 1987/88.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Móricz, F., Schipp, F. On the integrability andL 1-convergence of double Walsh series. Acta Math Hung 57, 371–380 (1991). https://doi.org/10.1007/BF01903688

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01903688

Keywords

Search

Navigation