Local geodesics between toric plurisubharmonic functions with infinite energy
Volume 120 / 2017
Annales Polonici Mathematici 120 (2017), 33-40 MSC: Primary 32U05; Secondary 32U25. DOI: 10.4064/ap170705-15-9 Published online: 20 November 2017
We study the behavior of weak geodesics in the space of plurisubharmonic functions on pseudoconvex domains. We investigate the continuity of geodesics between toric plurisubharmonic functions using the convex analytic method. As a result, we characterize the continuity of geodesics by means of the Lelong numbers.