2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119116We prove that on compact Kähler manifolds solutions to the complex Monge-Ampère equation, with the the right hand side in $L^p, p>1,$ are Hölder continuous.Complex VariablesDifferential Geometry32U; 32Q15Hölder continuity of solutions to the complex Monge-Ampère equation with the right hand side in L^p. The case of compact Kähler manifoldstext