Convergence in capacity
https://doi.org/10.4064/ap93-1-8Publisher, magazine: ,
Publication year: 2008
Lưu Trích dẫn Chia sẻAbstract
We prove that if E(Ω)∋uj→u∈E(Ω) in Cn-capacity then liminfj→∞(ddcuj)n≥1{u>−∞}(ddcu)n. This result is used to consider the convergence in capacity on bounded hyperconvex domains and compact Kähler manifolds.
Tags: complex Monge–Amp`ere operator, plurisubharmonic function, K¨ahler manifold.
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