32 citations · 36 across the 3 of their papers we have counts for
3 papers
math.CV2009★ 32 cited
Pluripotential estimates on compact Hermitian manifolds
Slawomir Dinew, Slawomir Kolodziej
We discuss pluripotential aspects of the Monge-Ampère equations on compact Hermitian manifolds and prove estimates for any metric, as well as the existence of weak sol…
math.CV2009★ 3 cited
Convergence in capacity on compact Kähler manifolds
Slawomir Dinew, Pham Hoang Hiep
The aim of this note is to study the convergence in capacity for functions in the class . We obtain several stability theorems. Some of these are (optimal) general…
math.CV2009★ 1 cited
Hölder continuous potentials on manifolds with partially positive curvature
Slawomir Dinew
It is proved that solutions of the complex Monge-Ampère equation on compact Kähler manifolds with right hand side in are uniformly Hölder continuous under the assumption…