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An ordering of measures induced by plurisubharmonic functions

Volume 119 / 2017

Berit Bengtson 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.

Authors

  • Berit BengtsonDepartment of Mathematics and Mathematical Statistics
    Umeå University
    SE-901 87 Umeå, Sweden
    e-mail

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