Quasi-monotone convergence of plurisubharmonic functions
Artikel i vetenskaplig tidskrift, 2023

The complex Monge-Ampère operator has been defined for locally bounded plurisubharmonic functions by Bedford-Taylor in the 80's. This definition has been extended to compact complex manifolds, and to various classes of mildly unbounded quasi-plurisubharmonic functions by various authors. As this operator is not continuous for the L1-topology, several stronger topologies have been introduced over the last decades to remedy this, while maintaining efficient compactness criteria. The purpose of this note is to show that these stronger topologies are essentially equivalent to the natural quasi-monotone topology that we introduce and study here.

Plurisubharmonic functions

Complex Monge-Ampère operator

Strong topology


Viincent Guedj

Université de Toulouse

Antonio Trusiani

Chalmers, Matematiska vetenskaper, Algebra och geometri

Göteborgs universitet

Bulletin des Sciences Mathematiques

0007-4497 (ISSN)

Vol. 188 103341


Algebra och logik


Matematisk analys



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