International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1988 / Article

Open Access

Volume 11 |Article ID 428978 | https://doi.org/10.1155/S0161171288000043

Krzysztof Ostaszewski, "The space of Henstock integrable functions of two variables", International Journal of Mathematics and Mathematical Sciences, vol. 11, Article ID 428978, 7 pages, 1988. https://doi.org/10.1155/S0161171288000043

The space of Henstock integrable functions of two variables

Received06 Feb 1987
Revised15 Mar 1987

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.

Copyright © 1988 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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