Skip to main content

An approach to pointwise ergodic theorems

  • Conference paper
  • First Online:
Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1317))

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

Access this chapter

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. J. Bourgain, On pointwise ergodic theorems for arithmetic sets, CRA Sc. Paris, t305, Ser 1, 397–402, 1987.

    MathSciNet  MATH  Google Scholar 

  2. J. Bourgain, On the maximal ergodic theorems for certain subsets of the integers, Israel J. Math. 61 (1988).

    Google Scholar 

  3. J. Bourgain, On the pointwise ergodic theorems on L p for arithmetic sets, Israel J. Math. 61 (1988).

    Google Scholar 

  4. J. Bourgain, On high dimensional maximal functions associated to convex sets. American J. Math. 108, 1986, 1467–1476.

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Bellow, V. Losert, On sequences of desity zero in Ergodic Theory, Contemporary Math. 26, 1984, 49–60.

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Bellow, V. Losert, The weighted pointwise ergodic theorem and the individual ergodic theorems along subsequences. TAMS 288, 1985, 307–355.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Davenport, Multiplicative number theory, Springer-Verlag 1980.

    Google Scholar 

  8. Y. Katznelson, B. Weiss, A simple proof of some ergodic theorems, Israel J. Math., 42, N4, 1982.

    Google Scholar 

  9. B. Weiss, private communications.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Joram Lindenstrauss Vitali D. Milman

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Bourgain, J. (1988). An approach to pointwise ergodic theorems. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081742

Download citation

  • DOI: https://doi.org/10.1007/BFb0081742

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19353-1

  • Online ISBN: 978-3-540-39235-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics