Geodesic
An ordering of measures induced by plurisubharmonic functions
Berit Bengtson1
1 Department of Mathematics and Mathematical Statistics Umeå University SE-901 87 Umeå, Sweden
Annales Polonici Mathematici, Tome 119 (2017) no. 3, pp. 221-237 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap4104-3-2017
Keywords: study ordering measures induced plurisubharmonic functions ordering arises naturally connection problems related negative plurisubharmonic functions study maximality respect ordering related notion minimality certain plurisubharmonic functions ordering applied problem weak * convergence measures particular monge amp measures

Berit Bengtson 1

1 Department of Mathematics and Mathematical Statistics Umeå University SE-901 87 Umeå, Sweden 
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Berit Bengtson. An ordering of measures induced by plurisubharmonic functions. Annales Polonici Mathematici, Tome 119 (2017) no. 3, pp. 221-237. doi: 10.4064/ap4104-3-2017

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