On the discrete Orlicz Minkowski problem II

The Orlicz Minkowski problem is a generalization of the \(L_p\) Minkowski problem. For a class of appropriate functions and discrete measures that have no essential subspaces, the existence is demonstrated for the discrete Orlicz Minkowski problem. This is a non-trivial extension of the discrete \(L_p\) Minkowski problem for \(p<0\).