Regularity estimates of solutions to complex Monge-Ampère equations on Hermitian manifolds

Mathematics – Differential Geometry

Scientific paper

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18 pages

Scientific paper

In this paper, we obtain the Bedford-Taylor interior $C^{2}$ estimate and
local Calabi $C^{3}$ estimate for the solutions to complex Monge-Amp\`ere
equations on Hermitian manifolds.

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