Abstract
A theorem of Marcinkiewicz asserts that the Perron integrability of a function can be deduced from the existence of a single pair of continuous major and minor functions. We show that Perron-type integrals based on various symmetric derivatives do not have this property.
Citation
V. A. Skvortsov. B. S. Thomson. "Symmetric integrals do not have the Marcinkiewicz property." Real Anal. Exchange 21 (2) 510 - 520, 1995/1996.
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