Hölder continuity of solutions to the complex Monge-Ampère equation with the right hand side in L^p. The case of compact Kähler manifolds

Details Hölder continuity of solutions to the complex Monge-Ampère equation with the right hand side in L^p. The case of compact Kähler manifolds Hölder continuity of solutions to the complex Monge-Ampère equation with the right hand side in L^p. The case of compact Kähler manifolds

2006-11-02

arxiv.org/abs/math/0611051v1

Mathematics

Complex Variables

Scientific paper

We prove that on compact K\"ahler manifolds solutions to the complex
Monge-Amp\`ere equation, with the the right hand side in $L^p, p>1,$ are
H\"older continuous.

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