Some Applications of Gallagher’s Theorem in Harmonic Analysis

Alexander M. Stokolos

doi:10.1112/blms/33.2.210

Some Applications of Gallagher’s Theorem in Harmonic Analysis

Alexander M. Stokolos

Mathematical Sciences

University of Missouri at Kansas City

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	American English
Pages (from-to)	210-212
Number of pages	3
Journal	Bulletin of the London Mathematical Society
Volume	33
Issue number	2
DOIs	https://doi.org/10.1112/blms/33.2.210
State	Published - Mar 1 2001

Scopus Subject Areas

General Mathematics

Disciplines

Mathematics

Keywords

Gallagher’s Theorem
Harmonic Analysis

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10.1112/blms/33.2.210

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AB - 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.

KW - Gallagher’s Theorem

KW - Harmonic Analysis

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Some Applications of Gallagher’s Theorem in Harmonic Analysis

Abstract

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