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国家自然科学基金(11271059): 作品数：11被引量：7H指数：2; 导出分析报告; 相关作者：卢玉峰刘浏胡寅寅林鸿钊丁晓娟更多>>; 相关机构：大连理工大学福建农林大学赤峰学院更多>>; 相关期刊：《Journal of Zhejiang University-Science B(Biomedicine & Biotechnology)》《应用泛函分析学报》《数学年刊（A辑）》《Acta Mathematica Sinica,English Series》更多>>; 相关主题：TOEPLITZ_OPERATORDUALSYMBOLSCOMMUTINGUNIT_BALL更多>>; 相关领域：理学生物学自动化与计算机技术更多>>

Dual Toeplitz Operators on the Unit Ball: 《Journal of Mathematical Research with Applications》2017年第6期710-724,共15页Zhitao YANG Bo ZHANG Yufeng LU; Supported by the National Natural Science Foundation of China(Grant Nos.11501075,11271059);the Natural Science Foundation of Liaoning Education Department(Grant No.L2015084);the Natural Science Foundation of Guangxi Education Department(Grant No.KY2015LX518); In this paper, we study some properties of dual Toeplitz operators on the orthog- onal complement of Bergman space of the unit ball. We first completely characterize the boundedness and compactness of dual Toeplitz op...; 关键词：Dual Toeplitz operators unit ball COMPACTNESS SPECTRUM QUASINORMAL

多圆盘调和Hardy空间上的对偶Toeplitz算子: 《辽宁师范大学学报（自然科学版）》2016年第3期289-294,共6页卢玉峰丁晓娟刘浏; 国家自然科学基金资助项目(11271059); 主要研究调和Hardy空间上对偶Toeplitz算子的代数性质及谱包含定理.首先,给出多圆环Tn上的调和Hardy空间的定义.然后,证明了有界符号的对偶Toeplitz算子可逆当且仅当其符号可逆,进而刻画了对偶Toeplitz算子的谱包含定理,基于谱包含定理...; 关键词：调和Hardy空间对偶TOEPLITZ算子谱包含定理交换性

双圆盘加权Dirichlet空间上Toeplitz算子的约化子空间被引量：1: 《数学年刊（A辑）》2016年第3期311-328,共18页林鸿钊胡寅寅卢玉峰; 国家自然科学基金(No.11271059)的资助; 刻画了双圆盘加权Dirichlet空间D_α(D^2)上Toeplitz算子T_Z_1N(或T_z_2N)和T_z_1N_z_2N的约化子空间.结果表明Toeplitz算子T_z_1N(或T_z_2N)的约化子空间结构与权系数α无关,而Toeplitz算子T_2_1N_z_2N的约化子空间结构与权系数α有关.; 关键词：约化子空间 TOEPLITZ算子 DIRICHLET空间双圆盘

Commuting Dual Toeplitz Operators on the Harmonic Dirichlet Space被引量：1: 《Acta Mathematica Sinica,English Series》2016年第9期1099-1105,共7页Jing Yu YANG Yin Yin HU Yu Feng LU Tao YU; Supported by NSFC(Grant Nos.11271059,11271332,11431011,11301047);NSF of Zhejiang Province(Grant Nos.LY14A010013,LY14A010021);Higher School Foundation of Inner Mongolia of China(Grant No.NJZY13298); In this paper, we characterize the symbols for （semi-）commuting dual Toeplitz operators on the orthogonal complement of the harmonic Dirichlet space. We show that for φ ,ψ ∈ W1, ∞, SφSψ = SψSφ on （Dh）⊥ if...; 关键词：Dual Toeplitz operator harmonic Dirichlet space COMMUTATIVITY

Some Properties of Causal Linear Time-Invariant(LTI) Operators on the Weighted l_(2) Space: 《Journal of Mathematical Research with Applications》2015年第6期672-680,共9页Naifeng GAN Yufeng LU Liu LIU; Supported by the National Natural Science Foundation of China(Grant No.11271059); We discuss the properties of causal LTI operators on weighted ？2 spaces for different choices of the weighting sequence {w（t）}t∈Z. Problems of closability of unstable causal LTI convolution operators are also disc...; 关键词：causal LTI operators weighted l_(2) space two-operator approach

调和Bergman空间上以拟齐次函数为符号的小Hankel算子的有限秩换位问题: 《应用泛函分析学报》2015年第3期237-241,共5页杨静宇王晓英; 国家自然科学基金(11271059);内蒙古自治区高等学校科学研究项目(NJZY13298); 本文主要研究调和Bergman空间L_h^2(D)上以拟齐次函数为符号的两个小Hankel算子的有限秩换位问题.; 关键词：调和Bergman空间小Hankel算子有限秩换位子拟齐次函数

Commuting Toeplitz Operators on the Hardy Space of the Polydisk: 《Acta Mathematica Sinica,English Series》2015年第4期695-702,共8页Ling Hui KONG Yu Feng LU; Supported by NSFC(Grant No.11271059); In this paper, we show that two Toeplitz operators Tf and Tg on the Hardy space of the polydisk can commute if and only if the Berezin transform of the commutator [Tf, Tg] is n-harmonic.; 关键词：Commuting Toeplitz operators Hardy space POLYDISK Berezin transform

Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space被引量：1: 《Acta Mathematica Sinica,English Series》2014年第8期1395-1406,共12页Hong Yan GUAN Yu Feng LU; Supported by National Natural Science Foundation of China(Grant No.11271059); In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We sol...; 关键词：Toeplitz operator small Hankel operator quasihomogeneous symbols harmonic Bergman space Mellin transform

时变系统的模型匹配与跟踪问题被引量：2: 《控制理论与应用》2014年第3期302-308,共7页刘浏卢玉峰; 国家自然科学基金资助项目(11301047,11271059);教育部博士后基金资助项目(2013M541216); 仿照时不变系统的次优模型匹配解的存在性证明方法,可以得到J–谱分解条件下时变系统的Nehari型模型匹配问题的次优解存在性.如何针对双边模型匹配的次优问题证明解的存在性还没有有效的方法.本文在套代数框架下研究了时变线性系统的次...; 关键词：次优控制模型匹配 J-谱分解同时镇定时变系统

Toeplitz Operators with Quasihomogeneous Symbols on the Dirichlet Space of B_n: 《Journal of Mathematical Research with Applications》2013年第6期717-731,共15页Hongzhao LIN Bo ZHANG Yufeng LU; Supported by the National Natural Science Foundation of China (Grant No.11271059); In this paper, we study some algebraic properties of Toeplitz operators with quasihomogeneous symbols on the Dirichlet space of the unit ball Bn. First, we describe commutators of a radial Toeplitz operator and charac...; 关键词：Dirichlet space unit ball Toeplitz operators quasihomogeneous symbols.

国家自然科学基金(11271059)