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arxiv: 0904.4140 · v1 · submitted 2009-04-27 · 🧮 math.CV

Convergence in capacity on compact K\"ahler manifolds

classification 🧮 math.CV
keywords capacityconvergenceahlerclasscompactfunctionsgeneralizationsmanifolds
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The aim of this note is to study the convergence in capacity for functions in the class $\mathcal E(X,\omega)$. We obtain several stability theorems. Some of these are (optimal) generalizations of results of Xing, while others are new.

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