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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/17
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/23
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
多圆盘上Bergman空间中具有无界符号的Toeplitz算子
Toeplitz算子 无界函数 Bergman 空间
2011/10/26
受曹广福教授和Josepha.Cima教授的文章的启发，研究多圆盘上Bergman空间中具有无界符号的Toeplitz算子的有界性、紧性及Hilbert-Schmidt性。
A remark on weighted bergman kernels on orbifolds
A remark weighted bergman kernels orbifolds
2018/4/19
In this note, we explain that Ross-Thomas’ result [4, Theorem 1.7] on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in...
双调和Green函数与Bergman核函数
Bergman核函数Green函数 双调和Green函数
2011/9/29
Bergman核函数一直以来都是一个被大量讨论与研究的热门话题。由Bergman核函数所展开的一系列问题的研究也取得了很多成果。以前已经研究得到了Green函数与Bergman核函数之间的关系，并且也研究了双调和Green函数的许多方面，了解了它的很多性质，但是，人们对双调和Green函数与Bergman核函数之间的关系还不知道。本文从这个思路出发，借鉴了Green函数与Bergman核函数之间的...
Bergman Type Metrics in Tower of Coverings
Bergman Type Metrics Tower of Coverings Algebraic Geometry
2011/9/22
Abstract: We establish a version of a statement attributed to Kazhdan by Yau. As a corollary, we obtain a more transparent form of our uniformization theorem in complex algebraic geometry.
Bergman completeness is not a quasi-conformal invariant
quasi-conformal invariant Bergman completeness Complex Variables
2011/9/22
Abstract: We show that Bergman completeness is not a quasi-conformal invariant for general Riemann surfaces.
Abstract: In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role in the co...
Some remarks on the action of Luzin area operator on Bergman spaces of the unit ball
Lusin area operator Bergmanmetric ball Bergman spaces sampling sequences
2011/9/19
Abstract: We study the action of Luzin area operator on BErgman classes on the unit ball,providing some direct generalizations of recent results of Z.Wu.
Some remarks on extremal problems in weighted Bergman spaces of analytic functions
weighted Bergman spaces of analytic functions Complex Variables
2011/9/19
Abstract: We prove some sharp extremal distance results for functions in weighted Bergman spaces on the upper halfplane.We also prove such results in the context of bounded strictly pseudoconvex domai...
Quasihomogeneous Toeplitz operators on the harmonic Bergman space
Toeplitz operator harmonic Bergman space quasihomogeneous symbol Mellin transform
2011/9/15
Abstract: In this paper we study the product of Toeplitz operators on the harmonic Bergman space of the unit disk of the complex plane C. Mainly, we discuss when the product of two quasihomogeneous To...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Toeplitz operators on Bergman spaces of polyanalytic functions
Toeplitz operators Bergman spaces of polyanalytic functions
2011/1/21
We study algebraic properties of Toeplitz operators on Berg-man spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operato...
Weighted composition operators on weighted vector-valued Bergman spaces
weighted composition operator vector-valued Bergman spaces
2010/9/26
In this paper we first introduce weighted vector-valued Bergman spaces ,
Λ of the upper half-plane. We then discuss their basic propertie...
Weighted composition operators between weighted Bergman-Nevanlinna and Bloch-type spaces
weighted composition operator Bloch-type spaces
2010/9/26
In this paper, we characterize the boundedness and compactness of weighted composition operators , ...