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Hölder continuous solutions to quaternionic Monge-Ampère equations (1901.07080v1)

Published 21 Jan 2019 in math.CV

Abstract: We prove the H\"{o}lder continuity of the unique solution to quaternionic Monge-Amp`{e}re equation with densities in $L{p},$ $p>2,$ on a bounded strictly pseudoconvex domains.

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