The space of Henstock integrable functions of two variables

Krzysztof Ostaszewski

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-7

Abstract:

We consider the space of Henstock integrable functions of two variables. Equipped with the Alexiewicz norm the space is proved to be barrelled. We give a partial description of its dual. We show by an example that the dual can't be described in a manner analogous to the one-dimensional case, since in two variables there exist functions whose distributional partials are measures and which are not multipliers for Henstock integrable functions.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:428978

DOI: 10.1155/S0161171288000043

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