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On a Monge-Ampère operator for plurisubharmonic functions with analytic singularities

Mats Andersson (Institutionen för matematiska vetenskaper) ; Elizabeth Wulcan (Institutionen för matematiska vetenskaper) ; Zbigniew Blocki
arXiv Vol. 1705.09274 (2017),
[Artikel, övrig vetenskaplig]

We study continuity properties of generalized Monge-Amp`ere operators for plurisubharmonic functions with analytic singularities. In particular, we prove continuity for a natural class of decreasing approximating sequences. We also prove a formula for the total mass of the Monge-Amp`ere measure of such a function on a compact Ka ̈hler manifold.



Denna post skapades 2017-09-21.
CPL Pubid: 252017

 

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Matematik

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