A support function of the weighted $L^2$ integrations on the superlevel   sets of the weights
  In this article, we establish a support function of the weighted $L^2$ integrations on the superlevel sets of the weights with optimal asymptoticity near the positive infinity, which is an analogue of the truth of Demailly's strong openness conjecture. 
Qi'an Guan, Zhenqian Li, Jiafu Ning
math.CV