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A Schwarz Lemma for Harmonic Mappings Between the Unit Balls in Real Euclidean Spaces

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Chinese Annals of Mathematics,Series B 2018年第6期39卷 1065-1092页

作者： Shaoyu DAI yifei pan School of Mathematics Southeast University Department of Mathematics Jinling Institute of Technology Department of Mathematical Sciences Purdue University Fort Wayne

The authors prove a Schwarz lemma for harmonic mappings between the unit balls in real Euclidean spaces. Roughly speaking, this result says that under a harmonic mapping between the unit balls in real Euclidean spaces, the image of a smaller ball centered at origin can be controlled. This extends the related result proved by Chen in complex plane.

关键词： Harmonic mappings Schwarz lemma Unit balls

Proper Holomorphic Maps from Domains in C2 with Transverse Circle Action

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Chinese Annals of Mathematics,Series B 2007年第5期28卷 533-542页

作者： Adam COFFMAN yifei pan Department of Mathematical Sciences Indiana University - Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA. Department of Mathematical Sciences Indiana University - Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA College of Mathematics and Information Sciences Jiangxi Normal University Nanchang 330022 China.

The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle *** main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.

关键词： Proper holomorphic map Pseudoconvex domain

Enhanced electrochemical CO_(2)reduction coupled with urea oxidation using bifunctional atomically dispersed CuNi catalysts

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Nano Research 2025年第1期18卷 208-216页

作者： Wenjie Wu Haoyang Zhou Ying Liu yifei pan Qingqing Chen Yu Zhang Junjie Mao Wenjie Ma Ping Yu Beijing National Laboratory for Molecular Sciences Key Laboratory of Analytical Chemistry for Living BiosystemsInstitute of ChemistryChinese Academy of Sciences(CAS)Beijing 100190China College of Chemistry and Materials Science Anhui Normal UniversityWuhu 241002China University of Chinese Academy of Sciences Beijing 100049China

The electrochemical conversion of carbon dioxide(CO_(2))into chemical fuels represents a promising approach for addressing global carbon balance ***,this process is hindered by the kinetic limitations of anodic reactions,usually the oxygen evolution reaction,resulting in less efficient production of high value-added ***,we report an integrated electrocatalytic system that couples CO_(2)reduction reaction(CO_(2)RR)with urea oxidation reaction(UOR)using a bifunctional electrocatalyst with atomically dispersed dual-metal CuNi sites anchored on bamboo-like nitrogen-doped carbon nanotubes(CuNi-CNT),which were synthesized through a one-step pyrolysis *** bifunctional CuNi-CNT catalyst exhibits a near 100%CO Faraday efficiency for CO_(2)RR over a wide potential range and outstanding UOR performance with a negatively shifted potential of 210 mV at 10 mA·cm^(-2).In addition,we assemble a two-electrode electrolyzer using bifunctional CuNi-CNT-modified carbon fiber paper electrodes as both cathode and anode,capable of operating at a remarkably low cell voltage of 1.81 V at 10 mA·cm-2,significantly lower than conventional *** study provides a novel avenue to achieving an efficient carbon cycle with reduced electric power consumption.

关键词： electrochemical conversion bimetallic site catalyst bifunctional electrocatalyst carbon dioxide reduction urea oxidation

A Boundary Schwarz Lemma for Holomorphic Mappings on the Polydisc

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Chinese Annals of Mathematics,Series B 2018年第1期39卷 9-16页

作者： Yang LIU Zhihua CHEN yifei pan Department of Mathematics Zhejiang Normal University Jinhua 321004 Zhejiang China. Department of Mathematics Tongji University Shanghai 200092 China Department of Mathematical Sciences Indiana University-Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA School of Mathematics and Informatics Jiangxi Normal University Nanchang 330022 China.

The authors prove a general Schwarz lemma at the boundary for holomorphic mappings from the polydisc to the unit ball in any *** the special case of one complex variable,the obtained results give the classic boundary ... 详细信息

关键词： Boundary Schwarz lemma Holomorphic mapping Polydisc Unit ball

A Schwarz Lemma at the Boundary of Hilbert Balls

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Chinese Annals of Mathematics,Series B 2018年第4期39卷 695-704页

作者： Zhihua CHEN Yang LIU yifei pan Department of Mathematics Tongji UniversityShanghai 200092 China. Corresponding author. Department of Mathematics Zhejiang Normal University Jinhua 321004Zhejiang China. Department of Mathematical Sciences Indiana University-Purdue University Fort Wayne Fort Wayne IN 46805-1499 USA School of Mathematics and Informatics Jiangxi Normal University Nanchang 330022 China.

In this paper, the authors prove a general Schwarz lemma at the boundary for the holomorphic mapping f between unit balls B and B＇ in separable complex Hilbert spaces H and H＇, respectively. It is found that if the mapping f ∈ C^1＋α at z0 ∈ B with f（zo） = wo ∈ OB＇, then the Fr＆het derivative operator Df（z0） maps the tangent space Tz0（ B^n） to Tw0（ B＇）, the holomorphic tangent space Tz0^（1,0） to Tw0（1,0）（ B＇）,respectively.

关键词： Boundary Schwarz lemma Separable Hilbert space Holomorphic mapping Unit ball

On the Influencing Factors and Strategies of Employee Loyalty Facebook case study

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Fudan Journal of the Humanities and Social Sciences 2018年第4期11卷 553-572页

作者： yifei pan Durham University DurhamUK Shanghai China

Employee loyalty has drawn a lot attention from both academics and practitioners since high employee loyalty plays a significant role in a companies' ***,most research concentrate more on the relationship between employee motivation and employee loyalty,and the relationship between employee satisfaction,commitment,engagement and employee loyalty especially in the general ***,there are a few researches connecting all these factors together and aimed at understand the relationship between employee motivation, performance appraisal and employee loyalty,especially in a context of a specific ***,this research aims to understand the clear relationship two important factors have in influencing employee loyalty,including motivation and performance appraisal in a specific case of *** research will use a case study research method,supported by semi-structured interviews,gathering data from secondary sources including literature,internet sources and so on and primary *** suggest that employees in Facebook have great loyalty towards the company due to the company's effective motivation and performance appraisal *** regard to Facebook,there are a lot of benefits motivating employees and there is a complete appropriate appraisal system to review staff performance,which all can increase employees' *** research has both academic and practical implications,which will contribute towards staff performance within companies.

关键词： Employee motivation Employee loyalty Appraisal system

On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space L^(2)(R^(n),e^(−|x|^(2)))

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Analysis in Theory and Applications 2023年第1期39卷 83-92页

作者： Shaoyu Dai Yang Liu yifei pan Department of Mathematics Jinling Institute of TechnologyNanjingJiangsu 211169China Department of Mathematics Zhejiang Normal UniversityJinhuaZhejiang 321004China Department of Mathematical Sciences Purdue University Fort WayneFort Wayne46805-1499USA

Let P(∆)be a polynomial of the Laplace operator∆=n∑j=1∂^(2)∂x^(2)_(j) on R^(n).We prove the existence of a bounded right inverse of the differential operator P(∆)in the weighted Hilbert space with the Gaussian measur... 详细信息

关键词： Laplace operator polynomial right inverse weighted Hilbert space Gaussian measure

A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL

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Acta Mathematica Scientia 2014年第6期34卷 1775-1780页

作者：戴绍虞潘一飞 Department of Mathematics Jinling Institute of Technology School of Mathematics and Informatics Jiangxi Normal University Department of Mathematical Sciences Indiana University-Purdue University Fort WayneFort WayneIN 46805-1499USA

In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.

关键词： holomorphic mappings Schwarz-Pick lemma the polydisk

Proper holomorphic self-maps of smooth bounded Reinhardt domains in C^n

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Science China Mathematics 2005年第z1期48卷 318-323页

作者： pan yifei Department of Mathematical Sciences, Indiana University-Purdue University Fort Wayne Fort Wayne, IN 46805-1499 , U.S.A. School of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330027, China Indiana Univ Purdue Univ Dept Math Sci Ft Wayne IN 46805 USA Jiangxi Normal Univ Sch Math & Informat Nanchang 330027 Peoples R China

It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain of D'Angelo finite type in Cn (n ＞ 1) is an automorphism.

关键词： holomorphic, self-maps, Reinhardt domains.