A remark on covering of compact Kähler manifolds and applications

• Date: 2021
• Main Authors: Hung, V. V., Quy, H. N.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6038
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Recently, Kolodziej proved that, on a compact Kähler manifold $M,$ the solutions to the complex Monge – Ampére equation with the right-hand side in $L^p,$ $p>1,$ are Hölder continuous with the exponent depending on $M$ and $\|f\|_p$ (see [Math. Ann., 342, 379-386 (2...