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Continuity of the complex Monge-Ampère operator |
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| Authors: | Yang Xing |
| Affiliation: | Department of Mathematics, University of Umeå, S-901 87 Umeå, Sweden |
| Abstract: | The complex Monge-Ampère operator  is an important tool in complex analysis. It would be interesting to find the right notion of convergence  such that  in the weak topology. In this paper, using the  -capacity, we give a sufficient condition of the weak convergence  . We also show that our condition is quite sharp in some case. |
| Keywords: | Plurisubharmonic function complex Monge-Amp`{e}re operator |
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