Skip to main content
SpringerLink
Log in

On the almost everywhere convergence of Bochner-Riesz means of multiple Fourier series

  • Conference paper
  • First Online:
Harmonic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 908))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C.P. Chang, On a condition for almost everywhere convergence of Bochner-Riesz means of multiple Fourier series, Studia Math. 28 (1966/67), 145–154.

    MathSciNet  Google Scholar 

  2. R.A. Fefferman, A theory of entropy in Fourier analysis, Advances in Math. 30 (1978), 171–201.

    Article  MathSciNet  MATH  Google Scholar 

  3. E.M. Stein, Localization and summability of multiple Fourier series, Acta. Math. 100 (1958), 93–147.

    Article  MathSciNet  MATH  Google Scholar 

  4. -, On certain exponential sums arising in multiple Fourier series, Annals of Math. 73 (1961), 87–109.

    Article  MathSciNet  MATH  Google Scholar 

  5. E.M. Stein, M.H. Taibleson, and G. Weiss, Weak type estimates for maximal operators on certain HP classes, Suppl. Rend. Circ. Mat. Palermo (1981).

    Google Scholar 

  6. M.H. Taibleson and G. Weiss, Certain function spaces connected with almost everywhere convergence of Fourier series, to appear in the Proceedings of the Conference on Harmonic Analysis, Univ. of Chicago, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Washington University in St. Louis, St. Louis, USA

    Lu Shan-zhen, Mitchell H. Taibleson & Guido Weiss

Authors
  1. Lu Shan-zhen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mitchell H. Taibleson
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guido Weiss
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Fulvio Ricci Guido Weiss

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Shan-zhen, L., Taibleson, M.H., Weiss, G. (1982). On the almost everywhere convergence of Bochner-Riesz means of multiple Fourier series. In: Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 908. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093298

Download citation

  • DOI: https://doi.org/10.1007/BFb0093298

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11188-7

  • Online ISBN: 978-3-540-38973-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation