Slawomir Dinew, Slawomir Kolodziej
Pluripotential Estimates on Compact Hermitian Manifolds
Preprint series: ESI preprints

MSC:

32F05 Plurisubharmonic functions and generalizations, See Also {

32C30 Integration on analytic sets and spaces, currents, {For local theory, See 32A25 or 32A27}

53C55 Hermitian and Kahlerian manifolds, See also {32Cxx}

Abstract: We discuss pluripotential aspects of the Monge-Amp\`ere equations
on compact Hermitian manifolds and prove $L^{\infty}$ estimates for
any metric, as well as the existence of weak solutions
under an extra assumption.


Keywords: Monge-Ampere operator, Hermitian manifold, pluripotential theory