Skip to main content
Log in

On a maximal theorem of Hardy and Littlewood and theorems concerning Fourier constants

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Burkill, J. C.: On the differentiability of multiple integrals. J. London Math. Soc.26, 244–249 (1951).

    Google Scholar 

  2. Chen, Y. M.: Some asymptotic properties of Fourier constants and integrability theorems. Math. Z.68, 227–244 (1957).

    Google Scholar 

  3. Chen, Y. M.: Some further asymptotic properties of Fourier constants. Math. Z.69, 105–120 (1958).

    Google Scholar 

  4. Flett, T. M.: Some remarks on a maximal theorem ofHardy andLittlewood. Quart. J. Math. (Oxford) (2)6, 275–282 (1955).

    Google Scholar 

  5. Hardy, G. H., andJ. E. Littlewood: A maximal theorem with function-theoretic applications. Acta math.54, 81–116 (1930).

    Google Scholar 

  6. Jessen, B., J. Marcinkiewicz andA. Zygmund: Note on the differentiability of multiple integrals. Fund. Math.25, 217–234 (1935).

    Google Scholar 

  7. Rado, R.: A new proof of a theorem ofHardy andLittlewood. J. London Math. Soc.11, 87–92 (1936).

    Google Scholar 

  8. Rauch, H. E.: Harmonic and analytic functions of several variables and the maximal theorem ofHardy andLittlewood. Canadian J. Math.8, 171–183 (1956).

    Google Scholar 

  9. Riesz, F.: Sur un théorèm de maximum deMM. Hardy etLittlewood. J. London Math. Soc.7, 10–13 (1932).

    Google Scholar 

  10. Smith, K. T.: A generalization of an inequality ofHardy andLittlewood. Canadian J. Math.8, 157–170 (1956).

    Google Scholar 

  11. Wiener, N.: The ergodic theorem. Duke Math. J.5, 1–18 (1939).

    Google Scholar 

  12. Zygmund, A.: Trigonometrical Series. Warszawa-Lwów 1935.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yung-Ming, C. On a maximal theorem of Hardy and Littlewood and theorems concerning Fourier constants. Math Z 69, 418–422 (1958). https://doi.org/10.1007/BF01187418

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01187418

Navigation