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math.CV2024
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…
math.CV2024
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…
math.CV2024
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…