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| 1 | Weak Orlicz space and its applications to the martingale theory显示文摘In this paper,the weak Orlicz space wL Φ is introduced and its applications to the martingale theory are discussed.In particular,a series of martingale inequalities including the maximal function inequality in weak Orlicz spaces are established;the relationships between these spaces are investigated.Moreover,the boundedness of several sublinear operators from one weak Orlicz space to another is proved;their vector-valued analogues are also considered. | LIU PeiDe,HOU YouLiang & WANG MaoFa School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China | 2010 | Science China Mathematics2010，53，4： | 21 |
| 2 | Progress in research and application of water mist fire suppression technology显示文摘Water mist technology in fire suppression has been a subject of many investigations over the last decade. This paper introduces the concept of water mist technology and discusses its extinguishment mechanisms in comparison with other fire suppression systems briefly. A survey is made on the recent applications of water mist for (1) Class B spray and pool fires in machinery spaces, gas turbine enclosures, combat vehicles, and flammable liquid storage rooms; (2) Class A fires in residential occupancies, marine accommoda-tions and public spaces, heritage buildings and libraries; (3) Class C fires in electronic equipment and computer rooms; and (4) the fires in aircraft onboard cabin and cargo com-partments. The paper proceeds to review some new applica-tions of water mist for the Class K fires in commercial cook rooms. Use of water mist for total-ship protection as well as the fire protection of heavy goods vehicle shuttle trains is also investigated. At last, the up-to-date development of corresponding test to evaluate the capabilities and limitaions of water mist is discussed. | LIU Jianghong, LIAO Guangxuan, LI Peide, FAN Weicheng & LU Qiang State Key Laboratory of fire Science, University of Science and Tech-nology of China, Hefei 230026, China Correspondence should be addressed to Liu Jianghong (e-mail: ljh@ ustc.edu.cn) | 2003 | Chinese Science Bulletin2003，48，8： | 15 |
| 3 | DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES显示文摘The authors establish a kind of inequalities for nonnegative submartingales which depend on two functions ψ and ψ, and obtain the equivalent conditions for Φ and ψ such that this kind of inequalities holds. In the caseΦ=ψ ε△2, it is proved that this necessary and sufficient condition is equivalent to qΦ >1. | MEI TAO(College of Mathematics and Computer Sciences, Wuhan University, Wuhan 430072, China.) LIU PEIDE(College of Mathematics and Computer Sciences, Wuhan University, Wuhan 430072, China.) | 2000 | Chinese Annals of Mathematics,Series B2000，21，2： | 9 |
| 4 | Weak Orlicz spaces:Some basic properties and their applications to harmonic analysis显示文摘We study some basic properties of weak Orlicz spaces and their applications to harmonic analysis.We first discuss the absolute continuity of the quasi-norm and its normality,then prove the boundedness of several maximal operators.We also establish a kind of Marcinkiewicz-type interpolation theorem between weak Orlicz spaces.As applications,the weak type analogues of several classical inequalities in harmonic analysis is obtained. | LIU PeiDe WANG MaoFa | 2013 | Science China Mathematics2013，56，4： | 8 |
| 5 | A New Class of Harmonic Univalent Functions by the Generalized Salagean Operator显示文摘A complex-valued harmonic functions that are univa-lent and sense preserving in the unit disk U can be written in the form f = h + g, where h and g are analytic in U. We define and investigate a new class SHPλ (α , β )by generalized Salagean op-erator of harmonic univalent functions. We give sufficient coeffi-cient conditions for normalized harmonic functions in the class SHPλ (α , β ). These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points. | LI Shuhai LIU Peide | 2007 | Wuhan University Journal of Natural Sciences2007，12，6： | 6 |
| 6 | Weighted integral inequalities in Orlicz martingale classes显示文摘Under appropriate conditions on Young's functions Φ1 and Φ2,we give necessary and sufficient conditions in order that weighted integral inequalities hold for Doob's maximal operator M on martingale Orlicz setting.When Φ1 = tp and Φ2 = tq,the inequalities revert to the ones of strong or weak(p,q)-type on martingale space. | CHEN Wei LIU PeiDe | 2011 | Science China Mathematics2011，54，6： | 6 |
| 7 | Interpolation for weak Orlicz spaces with M_Δ condition显示文摘An interpolation theorem for weak Orlicz spaces generalized by N-functions satisfying MΔ condition is given. It is proved to be true for weak Orlicz martingale spaces by weak atomic decomposition of weak Hardy martingale spaces. And applying the interpolation theorem, we obtain some embedding relationships among weak Orlicz martingale spaces. | JIAO Yong PENG LiHua LIU PeiDe | 2008 | Science China Mathematics2008，51，11： | 6 |
| 8 | Atomic Decompositions of Weak Hardy Spaces of B-Valued Martingales显示文摘The atomic decompositions of weak Hardy spaces of Banach-space-valued martingales are given. With the help of the atomic decompositions, some inequalities for B-valued martingales are established in the case 0 | MA Tao LIU Peide | 2006 | Wuhan University Journal of Natural Sciences2006，11，3： | 4 |
| 9 | Experimental study on fire smoke movement in a multi-floor and multi-room building显示文摘Fire smoke movement of multi-floor and multi-room (MFMR) fire was studied at the model test building in State Key Laboratory of Fire Science (SKLFS). The ingredient, temperature, air pressure difference and air velocity of smoke were measured and analyzed. Meanwhile, the hazard of smoke ingredient to exposed occupants was analyzed based on the national standard, Occupational Exposure Limit for Hazardous Agents in the Workplace (GBZ2-2002). The experimental results showed that the maximum temperature difference in MFMR fire was located along the vertical height from the fire source. With the spreading and diffusion of smoke, the temperature of smoke layer would tend to be no difference. In the fire of woodpile and kerosene, the main smoke ingredients such as SO 2 , CO and CO 2 would first exceed human’s average physiological limit, while smoke ingredients such as NO and NO 2 would come behind. Because of the higher fluctuation range and frequency of air pressure difference of smoke in multi-layer building fire, the fire smoke would spread around everywhere of the passageway and made the human evacuation more difficult. | ZHONG Maohua 1, 2 , LI Peide 2 , LIU Tiemin 1 , WEI Xing 1, 2 & LIAO Guangxuan 2 1. National Center of Safety Science and Technology, State Administration of Work Safety, Beijing 100029, China 2. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, China | 2005 | Science China(Technological Sciences)2005，48，3： | 4 |
| 10 | Interval Neutrosophic Prioritized OWA Operator and Its Application to Multiple Attribute Decision Making显示文摘On the basis of prioritized aggregated operator and prioritized ordered weighted average(POWA)operator,in this paper,the authors further present interval neutrosophic prioritized ordered weighted aggregation(INPOWA)operator with respect to interval neutrosophic numbers(INNs).Firstly,the definition,operational laws,characteristics,expectation and comparative method of INNs are introduced.Then,the INPOWA operator is developed,and some properties of the operator are analyzed.Furthermore,based on the INPOWA operator and the comparative formula of the INNs,an approach to decision making with INNs is established.Finally,an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness. | LIU Peide WANG Yumei | 2016 | Journal of Systems Science & Complexity2016，29，3： | 4 |
| 11 | Thermal deformation behavior and microstructure of nuclear austenitic stainless steel显示文摘Gleeble-1500D thermal simulation tester was employed in the hot-compression investigation of as-cast nuclear 304 austenitic stainless steel under conditions: deformation temperature 950―1200℃; deformations 30% and 50%; deformation rates 0.01 and 0.1 s?1. The results show that the flow stress decreases with temperature rise under the same strain rate and deformation, that the flow stress increases with deformation under the same temperature and strain rate, and that the flow stress increases with strain rate under the same temperature condition, i.e., work hardening becomes distinct. Materials exhibit better strength-toughness when the strain rate is 0.01 s-1, the deformation is 50%, and the temperature is 1050℃. | LIU Jie FAN GuangWei HAN PeiDe LIU JianSheng GE DongSheng QIAO GuanJun | 2009 | Science China(Technological Sciences)2009，52，8： | 4 |
| 12 | The ChinaMAP reference panel for the accurate genotypeimputation in Chinese populations显示文摘Dear Editor,The genotype imputation is an efficient and pivotal approach to estimate the unobserved genotypes in the genomic data from the single nucleotide polymorphism(SNP)genotyping arrays or whole-genome sequencing(WGS).The fine mapping of variants in the genome-wide association study(GWAS)could be critically improved by the imputation with an optimal reference panel based on the population-specific haplotypes. | Lin Li Peide Huang Xiaohui Sun Siyu Wang Min Xu Sha Liu Zhimin Feng Qing Zhang Xiaoji Wang Xiaole Zheng Mengyao Dai Yufang Bi Guang Ning Yanan Cao Weiqing Wang | 2021 | Cell Research2021，31，12： | 2 |
| 13 | Composition operators between generally weighted bloch space and Qqlog space显示文摘 | HaiYing Li and PeiDe Liu | 2008 | Banach journal of mathematical analysis2008，8，： | 1 |
| 14 | Research on the suPPlier selec-tion of a suPPly chain based on entroPy weight and im-Proved ELECTRE-Ⅲ method显示文摘 | Liu Peide Zhang Xin | 2011 | Int J Prod Res2011，49，3： | 1 |
| 15 | Research on the multi-attribute decision-making under risk with interval probability based on prospect theory and the uncertain linguistic variables显示文摘 | Liu Peide Jin Fang Zhang Xin | 2011 | Knowledge-Based Systems2011，24，： | 1 |
| 16 | Optimization algorithms for structural reliability 显示文摘 | LIU Peiding DER KIUREGHIAN A | 1991 | Structural Safety1991，9，3： | 1 |
| 17 | Composition operators between generally weighted Bloch spaces of polydisk 显示文摘 | Li Haiying Liu Peide Wang Maofa | 2007 | J Inequal Pure Appl Math2007，8，3： | 1 |
| 18 | Risk evaluation method of high-technology based on uncertain linguistic variable and TOPSIS method显示文摘 | WEI Yongqing LIU Peide | 2009 | Academy Journal2009，4，3： | 1 |
| 19 | Preliminary study on interaction of water mist with diffusion flame of liquid fuels显示文摘The chemical and physical interaction mechanisms of the water mist with diffusion flame of liquid fuels are investigated.The difference of the thermograms and the thermal field isograms between ethanol flame and kerosene flame with the water mist application is explained. With the water mist application, the differences between ethanol and kerosene in heat release rate, O2 and CO concentrations of their combustion products, and the temperature of their smoke are analyzed. At the same time, the interaction mechanism of the water mist with diffusion flame is presented and their relationship to the fuel species and to the concentration of water mist is described. | LIU Jianghong, LIAO Guangxuan, LI Peide and YAO Bin(State Key Laboratory of Fire Safety Science, University of Science and Technology of China, Hefei 230026, China) | 2003 | Progress in Natural Science:Materials International2003，13，3： | 1 |
| 20 | A Generalized Marcinkiewicz Interpolation Theorem and Its Applications显示文摘AGeneralizedMarcinkiewiczInterpolationTheoremandItsApplications￥LiuPeide;WeiWenzhan(DepartmantofMathematics,WuhanUniversity,W... | Liu Peide Wei Wenzhan (Departmant of Mathematics, Wuhan University, Wuhan 430072, China) | 1996 | Wuhan University Journal of Natural Sciences1996，1，1： | 1 |
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