V. Guedj

activity

20042025

most citedHölder continuous solutions to Monge-Ampère equations

75 citations · 335 across the 47 of their papers we have counts for

collaborators

Showing 2007 · math.CVShow all

2 papers · 2 filters

math.CV2007★ 4 cited

Domains of definition of Monge-Ampère operators on compact Kähler manifolds

Dan Coman, Vincent Guedj, Ahmed Zeriahi

Let $(X, ω)$ be a compact Kähler manifold. We introduce and study the largest set $D M A (X, ω)$ of $ω$ -plurisubharmonic (psh) functions on which the complex Monge-Ampère operator is we…

math.CV2007

A priori estimates for weak solutions of complex Monge-Ampère equations

S. Benelkourchi, V. Guedj, A. Zeriahi

Let $X$ be a compact Kähler manifold and $\om$ a smooth closed form of bidegree $(1, 1)$ which is nonnegative and big. We study the classes ${\mathcal E}_χ(X,\om)$ of $\om$-plurisub…