In this note,we introduce and study a new kind of generalized Cesaro operator,C_(μ),induced by a positive Borel measure μ on(0,1)between Dirichlet-type spaces.We characterize the measures μ for which Cμis bounded(...In this note,we introduce and study a new kind of generalized Cesaro operator,C_(μ),induced by a positive Borel measure μ on(0,1)between Dirichlet-type spaces.We characterize the measures μ for which Cμis bounded(compact)from one Dirichlet-type space,Da,into another one,D_(β).展开更多
A new constant C(X)for any Banach space X is introduced.It is proved that C(X)<2 implies the weak Banach–Saks property for the space X:In particular,C(cesp)is found for Cesàro sequence space cesp(1<p<∞...A new constant C(X)for any Banach space X is introduced.It is proved that C(X)<2 implies the weak Banach–Saks property for the space X:In particular,C(cesp)is found for Cesàro sequence space cesp(1<p<∞).Moreover,it is shown that the space cesp(1<p<∞)has property(β).展开更多
In this paper the extended Cesāro operator Tg is characterized between the α-Bloch spaces Bα and the BMOA space on the unit disk. Some necessary and sufficient conditions are given for which Tg is a bounded operato...In this paper the extended Cesāro operator Tg is characterized between the α-Bloch spaces Bα and the BMOA space on the unit disk. Some necessary and sufficient conditions are given for which Tg is a bounded operator or a compact operator from BMOA to Bα.展开更多
In this paper, we study the boundedness of the generalized Cesàro operator on the weighted Dirichlet spaces Dα={f∈H（D）;‖f‖Dα^2=｜f（0）｜^2＋∫D｜f＇（z）｜^2（1-｜z｜^αdm（z）〈＋∞},where -1 〈 α 〈＋...In this paper, we study the boundedness of the generalized Cesàro operator on the weighted Dirichlet spaces Dα={f∈H（D）;‖f‖Dα^2=｜f（0）｜^2＋∫D｜f＇（z）｜^2（1-｜z｜^αdm（z）〈＋∞},where -1 〈 α 〈＋∞ and H（D） is the class of all holomorphic functions on the unit disc D.展开更多
Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded （or compact） from mixed norm spaces H（p, q, μ...Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded （or compact） from mixed norm spaces H（p, q, μ） to H（p, q, v） in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.展开更多
Let n>1 and B be the unit ball in n dimensions complex space C^(n).Suppose thatφis a holomorphic self-map of B andψ∈H(B)withψ(0)=0.A kind of integral operator,composition Cesàro operator,is defined by T_(...Let n>1 and B be the unit ball in n dimensions complex space C^(n).Suppose thatφis a holomorphic self-map of B andψ∈H(B)withψ(0)=0.A kind of integral operator,composition Cesàro operator,is defined by T_(φ)ψ(f)(z)=∫^(1)0f[φ(tz)]Rψ(tz)dt/t,f∈(B)z∈B.In this paper,the authors characterize the conditions that the composition Cesàro operator T_φ,ψis bounded or compact on the normal weight Zygmund space Z_μ(B).At the same time,the sufficient and necessary conditions for all cases are given.展开更多
感应电能传输(inductive power transfer,IPT)技术应用于移动负载供电时,由于其能量传输的方向性限制,不可避免的振动、偏转等机械扰动容易导致系统传输功率的不稳定。主要针对移动负载供电时外部扰动带来的互感扰动问题,设计了一种适...感应电能传输(inductive power transfer,IPT)技术应用于移动负载供电时,由于其能量传输的方向性限制,不可避免的振动、偏转等机械扰动容易导致系统传输功率的不稳定。主要针对移动负载供电时外部扰动带来的互感扰动问题,设计了一种适用于参数动态扰动下的IPT系统改进型鲁棒控制方法。借助线性分式变换,结合标称IPT系统广义状态空间平均模型及其参数的扰动特征,用含摄动反馈的线性动力学模型表征系统扰动模型;同时跟据广义混合灵敏度指标,计算基于系统扰动模型及目标传递函数的改进型H_∞鲁棒控制器;仿真及实验结果表明,所设计的鲁棒控制策略具有对输出电压的快速跟踪控制能力,且对参数扰动影响具有较好的抑制作用。展开更多
基金supported by National Natural Science Foundation of China(11501157)supported by National Natural Science Foundation of China(12061022)the foundation of Guizhou Provincial Science and Technology Department(20177337 and 20175726)。
文摘In this note,we introduce and study a new kind of generalized Cesaro operator,C_(μ),induced by a positive Borel measure μ on(0,1)between Dirichlet-type spaces.We characterize the measures μ for which Cμis bounded(compact)from one Dirichlet-type space,Da,into another one,D_(β).
文摘A new constant C(X)for any Banach space X is introduced.It is proved that C(X)<2 implies the weak Banach–Saks property for the space X:In particular,C(cesp)is found for Cesàro sequence space cesp(1<p<∞).Moreover,it is shown that the space cesp(1<p<∞)has property(β).
基金the Natural Science Foundation of Fujian Province(2006J0201).
文摘In this paper the extended Cesāro operator Tg is characterized between the α-Bloch spaces Bα and the BMOA space on the unit disk. Some necessary and sufficient conditions are given for which Tg is a bounded operator or a compact operator from BMOA to Bα.
基金the National Natural Science Foundation of China (10471039) the Natural Science Foundation of Zhejiang Province (103104)the Natural Science Foundation of Huzhou City (2005YZ02)the Foundation of Huzhou Teachers'College (KX21030)
文摘In this paper, we study the boundedness of the generalized Cesàro operator on the weighted Dirichlet spaces Dα={f∈H（D）;‖f‖Dα^2=｜f（0）｜^2＋∫D｜f＇（z）｜^2（1-｜z｜^αdm（z）〈＋∞},where -1 〈 α 〈＋∞ and H（D） is the class of all holomorphic functions on the unit disc D.
基金Supported by the National Natural Science Foundation of China （No.10571049, 10471039）, the Natural Scicnce Foundation of Zhejiang Province （No. M103085）.
文摘Let μ and v be normal functions and let Tg be the extended Ceshso operator in terms of the symbol g. In this paper, we will characterize those g so that Tg is bounded （or compact） from mixed norm spaces H（p, q, μ） to H（p, q, v） in the unit ball of C^n, Furthermore, as applications, some analogous results are also given on weighted Bergman spaces and Dirichlet type spaces.
基金supported by the National Natural Science Foundation of China(No.11571104)the Hunan Provincial Innovation Foundation for Postgraduate(No.CX2018B286)。
文摘Let n>1 and B be the unit ball in n dimensions complex space C^(n).Suppose thatφis a holomorphic self-map of B andψ∈H(B)withψ(0)=0.A kind of integral operator,composition Cesàro operator,is defined by T_(φ)ψ(f)(z)=∫^(1)0f[φ(tz)]Rψ(tz)dt/t,f∈(B)z∈B.In this paper,the authors characterize the conditions that the composition Cesàro operator T_φ,ψis bounded or compact on the normal weight Zygmund space Z_μ(B).At the same time,the sufficient and necessary conditions for all cases are given.
文摘感应电能传输(inductive power transfer,IPT)技术应用于移动负载供电时,由于其能量传输的方向性限制,不可避免的振动、偏转等机械扰动容易导致系统传输功率的不稳定。主要针对移动负载供电时外部扰动带来的互感扰动问题,设计了一种适用于参数动态扰动下的IPT系统改进型鲁棒控制方法。借助线性分式变换,结合标称IPT系统广义状态空间平均模型及其参数的扰动特征,用含摄动反馈的线性动力学模型表征系统扰动模型;同时跟据广义混合灵敏度指标,计算基于系统扰动模型及目标传递函数的改进型H_∞鲁棒控制器;仿真及实验结果表明,所设计的鲁棒控制策略具有对输出电压的快速跟踪控制能力,且对参数扰动影响具有较好的抑制作用。
