Continuous solutions to Monge–Ampère equations on Hermitian manifolds for measures dominated by capacity
2021 ◽
Vol 60
(3)
◽
Keyword(s):
AbstractWe prove the existence of a continuous quasi-plurisubharmonic solution to the Monge–Ampère equation on a compact Hermitian manifold for a very general measure on the right hand side. We admit measures dominated by capacity in a certain manner, in particular, moderate measures studied by Dinh–Nguyen–Sibony. As a consequence, we give a characterization of measures admitting Hölder continuous quasi-plurisubharmonic potential, inspired by the work of Dinh–Nguyen.
Keyword(s):
2007 ◽
Vol 50
(1)
◽
pp. 113-122
◽
Keyword(s):
Keyword(s):
2014 ◽
Vol 16
(4)
◽
pp. 619-647
◽
2008 ◽
Vol 40
(6)
◽
pp. 1070-1080
◽
2017 ◽
Vol 25
(3)
◽
pp. 59-72
Keyword(s):
2010 ◽
Vol 9
(4)
◽
pp. 705-718
◽
Keyword(s):