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| 1 | Beurling type theorem on the Bergman space via the Hardy space of the bidisk显示文摘In this paper,by lifting the Bergman shift as the compression of an isometry on a subspace of the Hardy space of the bidisk,we give a proof of the Beurling type theorem on the Bergman space of Aleman,Richter and Sundberg(1996) via the Hardy space of the bidisk. | SUN ShunHua ZHENG DeChao | 2009 | Science China Mathematics2009，52，11： | 4 |
| 2 | Multi-objective Coordination Control of Distributed Power Flow Controller显示文摘In this paper,distributed power flow controller(DPFC)constraints are analyzed.The energy balance relationship between fundamental wave and third harmonic in series and shunt-side converter is deduced.A proportional integral(PI)controller of the DPFC is constructed.The PI controller uses the voltage amplitude and phase angle injected into the system in the series side,along with the modulation ratio of the three-phase converter on the shunt side as the control variables.A multiobjective coordinated control equation is proposed,which factors the constraints of the energy balance between series and shunt side,device capacity limit,safe operation limit,fundamental component,as well as third harmonic component of the injection voltage at the series side.The equation minimizes the variance between the actual value of the control target and its given value to ensure that the DC capacitor voltage,both in the series and shunt side,is stable at target value.Simulations are conducted to verify correctness and effectiveness of the proposed control method. | Aihong Tang Yunlu Shao Qiushi Xu Xu Zheng Hongsheng Zhao Dechao Xu | 2019 | CSEE Journal of Power and Energy Systems2019，5，3： | 3 |
| 3 | The spectrum of Bergman Toeplitz operators with some harmonic symbols显示文摘In this paper,we show that the spectrum of Toeplitz operators on the Bergman space with harmonic symbols of affine functions of z and equals the image of closed unit disk under the symbol.Surprisingly this does not hold for Toeplitz operators with harmonic symbols of quadratic functions of z and . | ZHAO XianFeng ZHENG DeChao | 2016 | Science China Mathematics2016，59，4： | 1 |
| 4 | Zero-based subspaces and quasi-invariant subspaces of the Bargmann-Fock space显示文摘We use the Weierstrass σ-function associated with a lattice in the complex plane to construct finite dimensional zero-based subspaces and quasi-invariant subspaces of given index in the Bargmann-Fock space. | HOU ShengZhao WEI ShuYun ZHENG DeChao ZHU KeHe | 2012 | Science China Mathematics2012，55，9： | 1 |
| 5 | Invariant subspaces, quasi-invariant subspaces and Hankel operators显示文摘 | Guo Kunyu Zheng Dechao | 2001 | Journal of Functional Analysis2001，187，： | 1 |
| 6 | Similarity of ananlytic Toeplitz operators on the Bergman spaces 显示文摘 | Jiang Chunlan Zheng Dechao | 2010 | Journal of Functional Analysis2010，258，： | 1 |
| 7 | Algebraic and spectral properties of dual Toeplitz operators显示文摘 | Dechao Zheng | 2002 | Trans Amer Math Soc2002，354，： | 1 |
| 8 | A generalizable strategy based on the rule of“like dissolves like”to construct porous liquids with low viscosity for CO_(2)capture显示文摘Porous liquids(PLs),an emerging porous material with permanent cavities,have attracted extensive attention in recent years.However,the current construction methods are complicated and resulting PLs possess high viscosity values,which cannot meet the requirements of practical industrial applications.Herein,we demonstrate a generalizable and simple strategy to prepare type III PLs with low viscosity based on the rule of“like dissolves like”.Specifically,the monoglycidyl ether terminated polydimethylsiloxane(denoted by E-PDMS)is attached to the surface of Universitetet i Oslo(UiO)-66-NH_(2)via covalent linkage,constructing the pore generator(UiO-66-NH_(2)-E-PDMS,denoted by P-UiO-66).Then,P-UiO-66 is dispersed into different types and amounts of sterically hindered solvents(PDMS400 or PDMS6000),obtaining a series of type III PLs(denoted by P-UiO-66-PLs)with permanent cavities and low viscosities.The gas sorption-desorption test shows that P-UiO-66-PLs have an enormous potential for CO_(2)/N_(2) selective separation.Besides,the porosity of P-UiO-66-PLs and the CO_(2)sorption mechanism are demonstrated by molecular simulation.Furthermore,the generality of the synthesis strategy is confirmed by the successful construction of PLs using two other amino-metal-organic frameworks(MOFs)(MIL-53(Al)-NH_(2)and MIL-88B(Fe)-NH_(2)).Importantly,it’s worth noting that the strategy based on the rule of“like dissolves like”sheds light on the preparation of other types of PLs for task-specific applications. | Yangyang Xin Hailong Ning Dechao Wang(✉) Xiaoqian Li Wendi Fan Xiaoqian Ju Hongni Wang Yichi Zhang Zhiyuan Yang Dongdong Yao Yaping Zheng | 2023 | Nano Research2023，16，7： | 1 |
| 9 | Rudin orthogonality problem on the Bergman space显示文摘 | KUNYU GUO DECHAO ZHENG | | 0，，261： | 1 |
| 10 | Invariant subspaces, Quasi-invariant subspaces,and Hankel operators显示文摘 | Guo Kunyu Zheng Dechao | 2001 | Journal of Function Analysis2001，187，： | 1 |
| 11 | The distribution function inequality and products of Toeplitz operators and Hankel operators显示文摘 | Zheng Dechao | 1996 | Journal Functional Analysis1996，138，2： | 1 |
| 12 | Products of Hankel and Toeplitz operators on the Bergman space 显示文摘 | Stroethoff K Zheng Dechao | 1999 | Journal Functional Analysis1999，169，1： | 1 |
| 13 | Bounded Toeplitz products on the Bergman space of the polydisk 显示文摘 | Stroethoff K Zheng Dechao | 2003 | J Math Anal Appl2003，278，： | 1 |
| 14 | Toeplitz operators and Hankel operators显示文摘 | Zheng Dechao | 1989 | Integral equations and operator theory1989，12，： | 1 |
| 15 | Compact operators via the Berezin transform显示文摘 | AXLER S ZHENG Dechao | 1998 | Indiana Univ Math J1998，47，： | 1 |
| 16 | Commuting Toeplitz operators on the bidisk显示文摘 | Xuanhao Ding Shunhua Sun Dechao Zheng | 2012 | Journal of Functional Analysis2012，，11： | 1 |
| 17 | Essentially commuting Hankel and Toeplitz operators 显示文摘 | Guo Kunyu Zheng Dechao | 2003 | J Funct Anal2003，201，： | 1 |
| 18 | Finite rank commutator of Toeplitz operators or Hankel operators 显示文摘 | Ding Xuanhao Zheng Dechao | 2008 | Houston J Math2008，34，： | 1 |
| 19 | Compact operators via the Berezin transform显示文摘 | Axler S Zheng Dechao | 1998 | Indiana Univ Math J1998，47，： | 1 |
| 20 | Invariant subspaces,quasi-invariant subspace,and Hankel operatos显示文摘 | Guo Kunyu Zheng Dechao | 2001 | Journal of Functional Analysis2001，187，： | 1 |
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