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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: [email protected]
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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

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