Zobrazeno 1 - 10
of 178
pro vyhledávání: '"Guan, Qi'an"'
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 spaces, and we prove some weighted versions of Saitoh's conjecture in
Externí odkaz:
http://arxiv.org/abs/2409.10002
Autor:
Bao, Shijie, Guan, Qi'an
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 $\xi-$Bergman kernels and in \cite{Guan19} using minimal $L^2$ integrals.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2408.16372
Autor:
Guan, Qi'an, Yuan, Zheng
In this article, we prove that for any Zhou valuation $\nu$, there exists a graded sequence of ideals $\mathfrak{a}_{\bullet}$ and a nonzero ideal $\mathfrak{q}$ such that $\nu$ $\mathscr{A}-$computes the jumping number $\mathrm{lct}^{\mathfrak{q}}(\
Externí odkaz:
http://arxiv.org/abs/2311.06565
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 given. We also establish a semi-continuity result for the Zhou numbers
Externí odkaz:
http://arxiv.org/abs/2311.06459
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 function or the multiples of a plurisubharmonic function) as a main tool,
Externí odkaz:
http://arxiv.org/abs/2310.00368
Autor:
Guan, Qi'an, Yuan, Zheng
In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some properties of the minimal norm of the generalization and some relations between the norm of the generalization and the minimal $L^2$ integrals. As applic
Externí odkaz:
http://arxiv.org/abs/2307.15446
In this article, we give some necessary conditions for the concavity property of minimal $L^2$ integrals degenerating to partial linearity, a charaterization for the concavity degenerating to partial linearity for open Riemann surfaces, and some rela
Externí odkaz:
http://arxiv.org/abs/2307.07112
Autor:
Guan, Qi'an, Yuan, Zheng
In this article, we consider the minimal $L^2$ integrals for the Hardy spaces and the Bergman spaces, and we present some relations between them, which can be regarded as the solutions of the finite points versions of Saitoh's conjecture for conjugat
Externí odkaz:
http://arxiv.org/abs/2304.01630
In the present paper, we obtain the log-plurisubharmonicity of fiberwise $\xi-$Bergman kernels for variant functional.
Comment: 9 pages. All comments are welcome!
Comment: 9 pages. All comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2303.16525
In this article, we consider the set of points for the holding of the equality in a weighted version of Suita conjecture for higher derivatives, and give relations between the set and the integer valued points of a class of harmonic functions (maybe
Externí odkaz:
http://arxiv.org/abs/2212.02713