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on Composition Operators on H^p-Spaces in Several Variables in Several Variables

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Acta Mathematica Sinica,English Series 1997年第2期13卷 281-288页

作者： cao guangfu Sun Shunhua (department of mathematics,sichuan university,chengdu 610064,china.

In this paper,we prove that a composition operator on H^P(B)is Fredholm if and only if it is invertible if and only if its symbol is an automorphism on B,and give the representation of the spectra of a class of compos... 详细信息

关键词： Hardy space Composition operator Fredholm operator Compact operator

ON　CONNECTIVITY　OF　THE　ESSENTIAL　SPECTRA　OF　TOEPLITZ　OPERATORS　WITH　SYMBOLS　IN　H∞＋C

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Chinese Annals of mathematics,Series B 1995年第1期16卷 93-102页

作者： cao guangfu SUN SHANLI(department of mathematics, Jinn university Changchun 130023, china.) JILIN UNIV DEPT MATHCHANGCHUN 130023PEOPLES R CHINA

This paper discusses the connectivity of the essential spectra of Toeplitz operators with symbols in H∞ +C on Hardy spaces and weighted Bergman spaces for several complex variables.

关键词： Hardy space Weighted Bergman space Toeplitz operator Essential spectrum.

Toeplitz Operators and Algebras on Dirichlet Spaces

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Communications in Mathematical Research 1999年第1期 1-4页

作者： cao guangfu (department of mathematics, sichuan university, chengdu, 610064) Sun Shanli

ＬｅｔＤｂｅｔｈｅｕｎｉｔｄｉｓｋｉｎｔｈｅｃｏｍｐｌｅｘｐｌａｎｅＣ，ａｎｄｄＡ（ｚ）＝１πｄｘｄｙｔｈｅｎｏｒｍａｌｉｚｅｄＬｅｂｅｓｇｕｅｍｅａｓｕｒｅｏｎＤ．ＴｈｅＳｏｂｏｌｅｖｓｐａｃｅＬ２，１ｉｓｄｅｆｉ... 详细信息

ＬｅｔＤｂｅｔｈｅｕｎｉｔｄｉｓｋｉｎｔｈｅｃｏｍｐｌｅｘｐｌａｎｅＣ，ａｎｄｄＡ（ｚ）＝１πｄｘｄｙｔｈｅｎｏｒｍａｌｉｚｅｄＬｅｂｅｓｇｕｅｍｅａｓｕｒｅｏｎＤ．ＴｈｅＳｏｂｏｌｅｖｓｐａｃｅＬ２，１ｉｓｄｅｆｉｎｅｄｔｏｂｅｔｈｅｃｏｌｅｃｔｉ...

关键词： Dirichlet Space Toeplitz Operator Toeplitz Algebra

BOUNDED COMPOSITION OPERATORS ON HARDY SPACES (Ⅱ)

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Systems Science and Mathematical Sciences 2000年第1期13卷 67-73页

作者： cao Guang fu ZHONG Chang yong (department of mathematics, sichuan university, chengdu 610064, china. 四川大学数学系四川成都 610064 四川大学数学系四川成都

***",***.,***.(S.)=1,HP(B.)***:B.--+Baisananalyticmap,foranyfEHP(B.),***... 详细信息

***",***.,***.(S.)=1,HP(B.)***:B.--+Baisananalyticmap,foranyfEHP(B.),***...

关键词： Hardy space Hp-extension property composition operator.

Composition Operators on a Banach Space of Analytic Functions

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Acta Mathematica Sinica,English Series 1998年第2期14卷 201-208页

作者： cao guangfu (department of mathematics,sichuan university,chengdu 610064,china.N.Elias (6611 Tauglewood Court 3B,Hammond,IN46323)P.Ghatage (department of mathematics,Cleveland State university,Cleveland,OH44115)Yu Dahai (department of mathematics,sichuan university,chengdu 610064,china. department of mathematics Sichuan University 610064 Chengdu China

In this paper,we study composition operators on a Banach space of analytic functions, denoted by X,which includes the Bloch *** space arises naturally as the dual space of analytic functions in the Bergman space L_a^1(D)which admit an atomic *** charac- terize the functions which induce compact composition operators and those which induce Fredholm operatorson this *** also investigate when a composition operator has a closed range.

关键词： Bergman space Composition operator Compact operator Fredholm operator

Unveiling protein corona composition:predicting with resampling embedding and machine learning

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Regenerative Biomaterials 2024年第1期3卷 27-33页

作者： Rong Liao Yan Zhuang Xiangfeng Li Ke Chen Xingming Wang Cong Feng guangfu Yin Xiangdong Zhu Jiangli Lin Xingdong Zhang College of Biomedical Engineering National Engineering Research Centre for BiomaterialsSichuan UniversityChengdu610065China

Biomaterials with surface nanostructures effectively enhance protein secretion and stimulate tissue *** nanoparticles(NPs)enter the living system,they quickly interact with proteins in the body fluid,forming the protein corona(PC).The accurate prediction of the PC composition is critical for analyzing the osteoinductivity of biomaterials and guiding the reverse design of ***,achieving accurate predictions remains a significant *** several machine learning(ML)models like Random Forest(RF)have been used for PC prediction,they often fail to consider the extreme values in the abundance region of PC absorption and struggle to improve accuracy due to the imbalanced data *** this study,resampling embedding was introduced to resolve the issue of imbalanced distribution in PC *** ML models were evaluated,and RF model was finally used for prediction,and good correlation coefficient(R^(2))and root-mean-square deviation(RMSE)values were *** ablation experiments demonstrated that the proposed method achieved an R^(2) of 0.68,indicating an improvement of approximately 10%,and an RMSE of 0.90,representing a reduction of approximately 10%.Furthermore,through the verification of label-free quantification of four NPs:hydroxyapatite(HA),titanium dioxide(TiO_(2)),silicon dioxide(SiO_(2))and silver(Ag),and we achieved a prediction performance with an R^(2) value>0.70 using Random ***,the feature analysis revealed that the composition of the PC is most significantly influenced by the incubation plasma concentration,PDI and surface modification.

关键词： nanoparticles protein corona machine learming resampling technique feature analysis

THEORETICAL STUDY ON THE EXCITED STATES AND STABILITIES OF B_3, B_3^- AND B_3^+

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Chinese Chemical Letters 1993年第1期4卷 75-78页

作者： Ze Xing cao, An Min TIAN, Guo Ming LIANG, and Guo Sen YAN department of Chemistry, sichuan university, chengdu 610064

The geometries and vibrational frequencies of the ground and low-lying excited states for B_3, B_3^- and B_3^+ are determined with the energy gradient method using the polarized double-zeta(6-31G*) basis set. The stabilities for the states of B_3,B_3^- and B_3^+ have been investigated based on the vibrational analysis. The correlation energy obtained for each state is considered with the configuration interaction (CISD+Q) technique. B_3 and B_3^+ have stable equilateral triangle geometry, while B_3^- has stable equilateral triangle, isosceles triangle and linear geometries. The Jahn-Teller distortion for a ~3E' state of B_3^- in D_(3h) symmetry is also discussed.

关键词： AND B3 B3 THEORETICAL STUDY ON THE EXCITED STATES AND STABILITIES OF B3 功山

Set Stabilization of Large-Scale Stochastic Boolean Networks:A Distributed Control Strategy

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IEEE/CAA Journal of Automatica Sinica 2024年第3期11卷 806-808页

作者： Lin Lin Jinde cao Jianquan Lu Leszek Rutkowski the department of Mechanical Engineering the University of Hong KongHong Kong China the School of mathematics Southeast UniversityNanjing 210096China IEEE the School of mathematics and the Frontiers Science Center for Mobile Information Communication and Security Southeast UniversityNanjing 210096China the School of mathematics the Southeast UniversityNanjing 210096 the School of Electronic Information and Electrical Engineering Chengdu UniversityChengdu 610106China the Systems Research Institute of the Polish Academy of Sciences Warsaw 01-447 the Institute of Computer Science AGH University of Science and TechnologyKraków 30-059 the Information Technology Institute University of Social SciencesŁódź90-113Poland

Dear Editor,This letter deals with the set stabilization of stochastic Boolean control networks(SBCNs)by the pinning control strategy,which is to realize the full control for systems by imposing control inputs on a fr... 详细信息

关键词： Boolean stabilization letter

Detection and Defense Method Against False Data Injection Attacks for Distributed Load Frequency Control System in Microgrid

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Journal of Modern Power Systems and Clean Energy 2024年第3期12卷 913-924页

作者： Zhixun Zhang Jianqiang Hu Jianquan Lu Jie Yu Jinde cao Ardak Kashkynbayev the School of Cyber Science and Engineering Southeast UniversityNanjing 210096China the School of mathematics Southeast UniversityNanjing 211189China the School of Electronic Information and Electrical Engineering Chengdu UniversityChengdu 610106China the Yonsei Frontier Laboratory Yonsei UniversitySeoul 03722South Korea School of Electrical Engineering Southeast UniversityNanjing 210096China the department of mathematics Nazarbayev UniversityNur-Sultan 010000Kazakhstan

In the realm of microgrid(MG),the distributed load frequency control(LFC)system has proven to be highly susceptible to the negative effects of false data injection attacks(FDIAs).Considering the significant responsibility of the distributed LFC system for maintaining frequency stability within the MG,this paper proposes a detection and defense method against unobservable FDIAs in the distributed LFC ***,the method integrates a bi-directional long short-term memory(Bi LSTM)neural network and an improved whale optimization algorithm(IWOA)into the LFC controller to detect and counteract ***,to enable the Bi LSTM neural network to proficiently detect multiple types of FDIAs with utmost precision,the model employs a historical MG dataset comprising the frequency and power ***,the IWOA is utilized to optimize the proportional-integral-derivative(PID)controller parameters to counteract the negative impacts of *** proposed detection and defense method is validated by building the distributed LFC system in Simulink.

关键词： Microgrid load frequency control false data injection attack bi-directional long short-term memory(BiLSTM)neural network improved whale optimization algorithm(IWOA) detection and defense