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arXiv · 1402.2497

Generalized Monge-Amp\`ere capacities

Eleonora Di Nezza·Chinh H. Lu
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Abstract

We study various capacities on compact K\"{a}hler manifolds which generalize the Bedford-Taylor Monge-Amp\`ere capacity. We then use these capacities to study the existence and the regularity of solutions of complex Monge-Amp\`ere equations.

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Eleonora Di Nezza, Chinh H. Lu. 2014-02-11. Generalized Monge-Amp\`ere capacities. https://arxiv.org/abs/1402.2497

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