The discrete horospherical p-Minkowski problem in hyperbolic space

Abstract

In [23], the first author and the third author introduced and studied the horospherical p-Minkowski problem for smooth horospherically convex domains in hyperbolic space. In this paper, we introduce and solve the discrete horospherical p-Minkowski problem in hyperbolic space for all $p\in (-\infty ,+\infty )$ when the given measure is even on the unit sphere.