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• W2530413985 abstract "Let $$(X,omega )$$ be a compact n-dimensional Kähler manifold on which the integral of $$omega ^n$$ is 1. Let K be an immersed real $$mathcal {C}^3$$ submanifold of X such that the tangent space at any point of K is not contained in any complex hyperplane of the (real) tangent space at that point of X. Let $$mu $$ be a probability measure compactly supported on K with $$L^p$$ density for some $$p>1$$ . We prove that the complex Monge–Ampère equation $$(dd^c varphi + omega )^n=mu $$ has a Hölder continuous solution." @default.
• W2530413985 created "2016-10-21" @default.
• W2530413985 creator A5043287394 @default.
• W2530413985 date "2017-06-29" @default.
• W2530413985 modified "2023-10-14" @default.
• W2530413985 title "Complex Monge–Ampère equation for measures supported on real submanifolds" @default.
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• W2530413985 doi "https://doi.org/10.1007/s00208-017-1565-8" @default.
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