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BERGMAN: 作品数：113被引量：242H指数：9; 导出分析报告; 相关领域：理学医药卫生更多>>; 相关作者：殷慰萍李宝毅谢云张利友崔学伟更多>>; 相关机构：首都师范大学北京大学中国科学院大学天津医科大学代谢病医院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金北京市自然科学基金天津市教委科研基金美国国家科学基金更多>>

Bergman空间的再生核与Toeplitz算子的特征向量: 《数学物理学报（A辑）》2023年第5期1333-1340,共8页丁宣浩侯林李永宁; 国家自然科学基金(11871122,12101092);重庆市自然科学基金(CSTB2022NSCQ-MSX1045,cstc2020jcyj-msxmX0318);重庆市教委基金(KJQN202100822);重庆工商大学基金(2053010);重庆工商大学校级项目(yjscxx2022-112-186)。; 在Bergman空间中,对任意φ∈¯¯H∞,众所周知TφKz=φ(z)Kz,即Kz是Tφ的属于φ(z)的特征向量,其中Kz是Bergman空间的再生核.反过来,φ是有界调和函数,若存在z∈D(或者对每一个z∈D)使得Kz是Tφ的特征向量,是否必有φ∈¯¯H∞?针对这...; 关键词：BERGMAN 空间再生核 TOEPLITZ 算子特征向量

爱: 《家居廊》2023年第2期34-43,共10页Gleeson Paulino(摄影) 唐能(翻译); 从英格玛·伯格曼(Ernst Ingmar Bergman)的电影风格出发,在一座20世纪80年代的德式住宅建筑中,一对年迈却充满时尚精神的夫妇,与出自巴西现代主义设计师们的经典作品不期而遇。; 关键词：BERGMAN 电影风格住宅建筑经典作品 20世纪80年代现代主义

加权Bergman空间上的广义Volterra型积分算子: 《理论数学》2022年第12期2133-2140,共8页施业成; 近年来解析函数空间上的广义 Volterra 型积分算子的有界性和紧性引起众多学者的兴趣。然而,加权 Bergman 空间上的广义 Volterra 型算子的研究尚未完善。本论文讨论加权Bergman空间之间的广义 Volterra 型积分算子的有界性和紧性问题,...; 关键词：Bergman 空间广义 Volterra 型积分算子有界性紧性

正规权诱导的 Bergman 空间上的Hankel 算子: 《应用数学进展》2022年第7期4443-4450,共8页王尔敏施业成; 本文主要刻画当 1 f-从 Aωp到 LΩq同时有界或紧的特征,其中 ω, Ω 是正规权。; 关键词：加权 Bergman 空间有界性 Hankel 算子

Toeplitz Products on Bergman–Sobolev Spaces over the Unit Polydisk: 《Acta Mathematica Sinica,English Series》2021年第9期1349-1366,共18页Li HE; Supported by National Natural Science Foundation of China(Grant No.11871170);the open project of Key Laboratory,School of Mathematical Sciences,Chongqing Normal University(Grant No.CSSXKFKTM202002)。; In this paper,we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk.We also calculate the essential norm of finite sums of finite...; 关键词：Bergman–Sobolev space Toeplitz products compactness essential norm FREDHOLMNESS

Solution of Modified Bergman Minimal Blood Glucose-Insulin Model Using Caputo-Fabrizio Fractional Derivative: 《Computer Modeling in Engineering & Sciences》2021年第9期1247-1263,共17页Ravi Shanker Dubey Dumitru Baleanu Manvendra Narayan Mishra Pranay Goswami; Diabetes is a burning issue in the whole world.It is the imbalance between body glucose and insulin.The study of this imbalance is very much needed from a research point of view.For this reason,Bergman gave an importa...; 关键词：Bergman minimal model blood glucose Caputo-Fabrizio fractional derivative uniqueness and existence fractional calculus

Invertibility of Bergman Toeplitz operators with harmonic polynomial symbols: 《Science China Mathematics》2020年第5期965-978,共14页Nanxing Guan Xianfeng Zhao; supported by the Yunnan Natural Science Foundation(Grant No.201601YA00004);supported by National Natural Science Foundation of China(Grant No.11701052);Chongqing Natural Science Foundation(Grant No.cstc2017jcyjAX0373);the Fundamental Research Funds for the Central Universities(Grant Nos.106112016CDJRC000080 and 106112017CDJXY100007)。; Let p be an analytic polynomial on the unit disk.We obtain a necessary and sufficient condition for Toeplitz operators with the symbol z+p to be invertible on the Bergman space when all coefficients of p are real numb...; 关键词：Bergman space Toeplitz operator harmonic polynomial symbol INVERTIBILITY

Algebraic Properties of Toeplitz Operators on Cutoff Harmonic Bergman Space被引量：2: 《Journal of Mathematical Research with Applications》2020年第2期169-186,共18页Jingyu YANG Yufeng LU Huo TANG; Supported by National Natural Science Foundation of China(Grant No.11761006);the Natural Science Foundation of Inner Mongolia Autonomous Region of China(Grant Nos.2017MS0113,2018MS01026);the Scientific Research Foundation of Higher School of Inner Mongolia Autonomous Region of China(Grant No.NJZY17300).; In this paper, we first investigate the finite-rank product problems of several Toeplitz operators with quasihomogeneous symbols on the cutoff harmonic Bergman space b_n^2. Next,we characterize finite rank commutators...; 关键词：TOEPLITZ operator CUTOFF HARMONIC BERGMAN space quasihomogeneous finite RANK

COMPLEX SYMMETRIC TOEPLITZ OPERATORS ON THE UNIT POLYDISK AND THE UNIT BALL被引量：6: 《Acta Mathematica Scientia》2020年第1期35-44,共10页Cao JIANG Xingtang DONG Zehua ZHOU; supported in part by the National Natural Science Foundation of China(11201331,11771323)。; In this article,we study complex symmetric Toeplitz operators on the Bergman space and the pluriharmonic Bergman space in several variables.Surprisingly,the necessary and sufficient conditions for Toeplitz operators t...; 关键词：COMPLEX SYMMETRIC OPERATOR Toeplitz OPERATOR BERGMAN SPACE pluriharmonic BERGMAN SPACE

POINTWISE MULTIPLICATION OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF ■被引量：2: 《Acta Mathematica Scientia》2019年第4期1003-1016,共14页Ru PENG Xiaolei XING Liangying JIANG; Supported by the National Natural Science Foundation of China(11601400 and 11771441);the Fundamental Research Funds for the Central Universities(2017IB012 and 2017IVB064); This article is devoted to characterizing the boundedness and compactness of multiplication operators from Hardy spaces to weighted Bergman spaces in the unit ball of ■.; 关键词：Poin twise multiplication opera TORS Hardy SPACES BERGMAN SPACES CARLESON measure

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