Estimation of weighted $L^2$ norm related to Demailly's Strong Openness   Conjecture
  In the present article, we obtain an estimation of the weighted $L^2$ norm near the singularities of plurisubharmonic weight related to Demailly's strong openness conjecture, which implies the convergence of the weighted $L^2$ norm. 
Qi'an Guan, Zhenqian Li, Xiangyu Zhou
math.CV math.AG