93 citations · 210 across the 29 of their papers we have counts for
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math.DG2019
Improved Beckner-Sobolev inequalities on Kähler manifolds
Fabrice Baudoin, Ovidiu Munteanu
We prove new Beckner-Sobolev type inequalities on compact Kähler manifolds with positive Ricci curvature. As an application, we obtain a diameter upper bound that improves the Bonn…
math.DG2019
Gradient estimate for harmonic functions on Kähler manifolds
Ovidiu Munteanu, Lihan Wang
We prove a sharp integral gradient estimate for harmonic functions on noncompact Kähler manifolds. As application, we obtain a sharp estimate for the bottom of spectrum of the p-La…
math.DG2019★ 1 cited
Weighted Poincare inequality and the Poisson equation
Ovidiu Munteanu, Chiung-Jue Anna Sung, Jiaping Wang
We develop Green's function estimate for manifolds satisfying a weighted Poincare inequality together with a compatible lower bound on the Ricci curvature. The estimate is then app…