9 papers · 1 filter
A remark on a generalized Suita conjecture for finite points case
Qi'an Guan, Xun Sun, Zheng Yuan
In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite po…
Weighted versions of Saitoh's conjecture in fibration cases
Qi'an Guan, Gan Li, Zheng Yuan
In this article, we introduce some generalized Hardy spaces on fibrations of planar domains and fibrations of products of planar domains. We consider the kernel functions on these…
Equivalence of the sharp effectiveness results of strong openness property
Shijie Bao, Qi'an Guan
In this paper, we show the equivalence of the sharp effectiveness results of the strong openness property of multiplier ideal sheaves obtained in \cite{BG1} using Bergman kerne…
On the multipoled global Zhou weights and semi-continuity for Zhou numbers
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In the present paper, we give the definition and properties of the multipoled global Zhou weights. Some approximation and convergence results of multipoled global Zhou weights are…
Zhou valuations and jumping numbers
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we prove that for any Zhou valuation , there exists a graded sequence of ideals and a nonzero ideal such that $\math…
Tame maximal weights, relative types and valuations
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, we obtain a class of tame maximal weights (Zhou weights). Using Tian functions (the function of jumping numbers with respect to the exponents of a holomorphic func…