Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-27T22:51:54.915Z Has data issue: false hasContentIssue false
  • English
  • Français

SOME APPLICATIONS OF GALLAGHER'S THEOREM IN HARMONIC ANALYSIS

Published online by Cambridge University Press:  09 April 2001

A. M. STOKOLOS
A. M. STOKOLOS
Affiliation:
Department of Mathematics and Statistics, University of Missouri–Kansas City, Kansas City, MO 64110-2499, USA; e-mail: stokolos@excite.com
Get access

Abstract

We present a simple example of an integrable function for which the integral is not differentiable almost everywhere in the strong sense. A first example of such a function was given by S. Saks in 1935. Our construction is considerably more simple, due to the use of a remarkable theorem of P. X. Gallagher.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 2 , March 2001 , pp. 210 - 212
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)