A correction to “Properties of functions 𝑓(𝑥,𝑦) of bounded variation.”
A correction to “Properties of functions 𝑓(𝑥,𝑦) of bounded variation.”
Some time after our paper was written it came to our attention that the partial derivatives of a measurable function/(x, y) need not be measurable, in contradiction to a Lemma of Burkill and Haslam-Jones.fTrivial examples suffice to show this; indeed such an example, due to Hahn, has been given by …