Sharp $C^{1,\bar{1}}$ estimates in Kähler quantization and non-pluripolar Radon measures

Zbigniew Błocki, Tamás Darvas

Let $K_{\phi }$ denote the weighted Bergman kernel associated to a plurisubharmonic function $\phi$. We obtain upper bounds and positive lower bounds for the Bergman metric $i\partial \bar{…