Publication date:
20 August 2017
Source:Advances in Mathematics, Volume 316
Author(s): Semyon Alesker, Egor Shelukhin
We prove a $C^0$ a priori estimate on a solution of the quaternionic Calabi problem on an arbitrary compact connected HKT-manifold. This generalizes earlier results [9] and [7] where this result was proven under certain extra assumptions on the manifold.