Monge–Ampère measures on pluripolar sets

By Per Åhag, U. Cegrell, R. Czyż, Phạm Hoàng Hiệp. 2007

142 citations recorded by the source corpus.

In this article we solve the complex Monge–Ampere problem for measures with large singular part. This result generalizes classical results by Demailly, Lelong and Lempert a.o., who considered singu ...

Subfields: Applied Mathematics, Atmospheric Science, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/560343d208b5d80fc3d344da0e55c577461957c7

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In Applied Mathematics

1. V. V. Hung
2. Nguyen Van Phu

In Geometry and Topology

1. V. V. Hung
2. Nguyen Van Phu

Citations in the corpus

• Hessian measures on m-polar sets and applications to the complex Hessian equations (2017, background): “The aimof the present paper is to study the convergence inCm, C̃m-capacity andHessian measures onm-polar set which is a generalization of results in [14] and[15].”