75 citations · 79 across the 6 of their papers we have counts for
6 papers
Comparison principles for Monge-Ampère measures on pluripolar sets
Thai Duong Do, Hoang Hiep Pham
In this paper, we introduce a notion of singularity comparison for plurisubharmonic functions based on the Bedford--Taylor capacity. We establish comparison principles for the comp…
Complex Monge-Ampère equation in strictly pseudoconvex domains
Hoang-Son Do, Thai Duong Do, Hoang Hiep Pham
We study the complex Monge-Ampère equation in a strictly pseudoconvex domain with the boundary condition , where . We provide a non-trivi…
Log canonical thresholds and Monge-Ampere masses
Pham Hoang Hiep
In this paper, we prove an inequality for log canonical thresholds and Monge-Ampere masses. The idea of proof is a combination of the Ohsawa-Takegoshi -extension theorem and i…
A sharp lower bound for the log canonical threshold
Jean-Pierre Demailly, Hoang Hiep Pham
In this note, we prove a sharp lower bound for the log canonical threshold of a plurisubharmonic function with an isolated singularity at in an open subset of ${\mathbb C}^…
Hölder continuous solutions to Monge-Ampère equations
Jean-Pierre Demailly, Slawomir Dinew, Vincent Guedj +3
Let be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on with right hand side, . The same…
Partial pluricomplex energy and integrability exponents of plurisubharmonic functions
P. Åhag, U. Cegrell, S. Kołodziej +2
We give a sufficient condition on the Monge-Ampère mass of a plurisubharmonic function for to be locally integrable. This gives a pluripotential theoretic proof…