An ordering of measures induced by plurisubharmonic functions
Volume 119 / 2017
Annales Polonici Mathematici 119 (2017), 221-237
MSC: Primary 32W20; Secondary 06A06.
DOI: 10.4064/ap4104-3-2017
Published online: 18 April 2017
Abstract
We study an ordering of measures induced by plurisubharmonic functions. This ordering arises naturally in connection with problems related to negative plurisubharmonic functions. We study maximality with respect to the ordering and a related notion of minimality for certain plurisubharmonic functions. The ordering is then applied to the problem of weak$^*$-convergence of measures, in particular Monge–Ampère measures.
