95 citations · 249 across the 44 of their papers we have counts for
4 papers · 1 filter
Optimal constant in an L^2 extension problem and a proof of a conjecture of Ohsawa
Qi'an Guan, Xiangyu Zhou
In this paper, we solve the optimal constant problem in the setting of Ohsawa's generalized extension theorem. As applications, we prove a conjecture of Ohsawa and the exte…
Characterization of multiplier ideal sheaves with weights of Lelong number one
Qi'an Guan, Xiangyu Zhou
In this article, we characterize plurisubharmonic functions of Lelong number one at the origin, such that the germ of the associated multiplier ideal sheaf is nontrivial: in arbitr…
Effectiveness of Demailly's strong openness conjecture and related problems
Qi'an Guan, Xiangyu Zhou
In this article, stimulated by the effectiveness in Berndtsson's solution of the openness conjecture and continuing our solution of Demailly's strong openness conjecture, we discus…
Strong openness conjecture and related problems for plurisubharmonic functions
Qi'an Guan, Xiangyu Zhou
In this article, we solve the strong openness conjecture on the multiplier ideal sheaves for the plurisubharmonic functions posed by Demailly. We prove two conjectures about the gr…