Diagonals of separately absolutely continuous mappings and their analogues

Olena Karlova, Volodymyr Mykhaylyuk, Oleksandr Sobchuk

We prove that, for an interval $X\subseteq \mathbb{R}$ and a normed space $Z$ diagonals of separately absolute continuous mappings $f:X^2\to Z$ are exactly such mappings \mbox{$g:X\…