Linear Functional Equations and their Solutions in Lorentz Spaces

Janusz Morawiec, Thomas Zürcher

Assume that $\Omega \subset {\mathbb{R}}^k$ is an open set, $V$ is a separable Banach space over a field $\mathbb{K}\in \{\mathbb{R},\mathbb{C}\}$ and $f_1,\dots ,f_N:\Omega \to \Omega$, $g_1,\ldot…