云南高校图书馆联盟文献共享服务平台- SUPREMUM

SUPREMUM: 作品数：16被引量：6H指数：1; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈平炎更多>>; 相关机构：暨南大学更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《Applied Mathematics and Mechanics(English Edition)》更多>>; 相关基金：国家自然科学基金中国博士后科学基金更多>>

Achievability of a supremum for the Hardy-Littlewood-Sobolev inequality with supercritical exponent: 《Science China Mathematics》2019年第12期2497-2504,共8页Xiaoming An Shuangjie Peng Chaodong Xie; supported by National Natural Science Foundation of China(Grant Nos.11831009 and 11571130); In this paper, we prove that the supremum sup{ ∫B∫B|u（y）|p（|y|）|u（x）|p（|x|）/|x-y|μdxdy : u ∈ H0,rad1（B）, ||?||uL2（B）= 1}is attained, where B denotes the unit ball in RN（N ≥3）, μ ∈（0, N）, p（r） ...; 关键词：Hardy-Littlewood-Sobolev INEQUALITY achievability of a SUPREMUM SUPERCRITICAL EXPONENT

Limit theorems for supremum of Gaussian processes over a random interval: 《Applied Mathematics(A Journal of Chinese Universities)》2018年第3期335-343,共9页LIN Fu-ming PENG Zuo-xiang; Supported by the Scientific Research Fund of Sichuan Provincial Education Department(12ZB082);the Scientific research cultivation project of Sichuan University of Science&Engineering(2013PY07);the Scientific Research Fund of Shanghai University of Finance and Economics(2017110080);the Opening Project of Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing(2018QZJ01); Let {X(t), t ≥ 0} be a centered stationary Gaussian process with correlation r(t)such that 1-r(t) is asymptotic to a regularly varying function. With T being a nonnegative random variable and independent of X(t), the...; 关键词：stationary Gaussian process supremum of a process regularly varying functions random intervals

Some limit results on supremum of Shepp statistics for fractional Brownian motion: 《Applied Mathematics(A Journal of Chinese Universities)》2016年第3期269-282,共14页TAN Zhong-quan CHEN Yang; supported by National Science Foundation of China(11501250);Natural Science Foundation of Zhejiang Province of China(LQ14A010012,LY15A010019);Postdoctoral Research Program of Zhejiang Province;Natural Science Foundation of Jiangsu Higher Education Institution of China(14KJB110023);Research Foundation of SUST; Define the incremental fractional Brownian field ZH（τ, s） = BH（s＋τ） -BH（s）,where BH（s） is a standard fractional Brownian motion with Hurst parameter H ∈ （0, 1）. Inthis paper, we first derive an exact asy...; 关键词：EXTREMES Shepp statistics fractional Brownian motion exact asymptotic almost sure limit theorem

Tail behavior of supremum of a random walk when Cramer＇s condition fails: 《Frontiers of Mathematics in China》2014年第2期431-453,共23页Changjun YU Yuebao WANG; Acknowledgements The authors were grateful to the two reviewers for their valuable comments and suggestions to improve the present paper. This work was supported by the National Natural Science Foundation of China （NO. 11071182） and the Doctor Introduction Foundation of Nantong University （No. 12R066）.; We investigate tail behavior of the supremum of a random walk in the case that Cramer＇s condition fails, namely, the intermediate case and the heavy-tailed ease. When the integrated distribution of the increment of t...; 关键词：Random walk SUPREMUM exponential distribution class O-subexponential distribution class closure property asymptotic estimate ruin probability

Impulsive efects on global stability of models based on impulsive diferential equations with “supremum” and variable impulsive perturbations: 《Applied Mathematics and Mechanics(English Edition)》2014年第1期85-96,共12页I.M.STAMOVA T.G.STAMOV; Sufficient conditions are investigated for the global stability of the solu tions to models based on nonlinear impulsive differential equations with ＂supremum＂ and variable impulsive perturbations. The main tools ar...; 关键词：global stability Lyapunov-Razumikhin function nonlinear impulsive dif-ferential equation with ＂supremum＂ variable impulsive perturbation

Scattering of the Radial Focusing Mass-Supercritical and Energy-Subcritical Nonlinear Schrödinger Equation in 3D: 《Advances in Pure Mathematics》2013年第1期164-171,共8页Mujahid Abd Elmjed M-Ali Amadu Fullah Kamara; This paper studies the global behavior to 3D focusing nonlinear Schrodinger equation (NLS), the scaling index here is (0; 关键词：NLS Blows-Up in Finite Time SUPREMUM Precompactness

Estimates for the Tail Probability of the Supremum of a Random Walk with Independent Increments: 《Chinese Annals of Mathematics,Series B》2011年第6期847-856,共10页Yang YANG Kaiyong WANG; supported by the National Natural Science Foundation of China (No.11001052);the Postdoctoral Science Foundation of China (No.20100471365);the Jiangsu Provincial Natural Science Foundation of China (No.BK2010480);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No.10KJB110010);the Jiangsu Provincial Postdoctoral Research Program of China (No.0901029C);the Jiangsu Government Scholarship for Overseas Studies,Qing Lan Project; The authors investigate the tail probability of the supremum of a random walk with independent increments and obtain some equivalent assertions in the case that the increments are independent and identically distribut...; 关键词：Random walk O-Subexponential distribution Integrated distribution SUPREMUM

Joint and supremum distributions in the compound binomial model with Markovian environment: 《Applied Mathematics(A Journal of Chinese Universities)》2011年第3期265-279,共15页YU Yi-bin ZHANG Li-xin ZHANG Yi; Supported by the National Natural Science Foundation of China (10671176, 10771192, 70871103); In this paper, we study the compound binomial model in Markovian environment, which is proposed by Cossette, et al. （2003）. We obtain the recursive formula of the joint distributions of T, X（T - 1） and ｜X（T）｜...; 关键词：Compound binomial model Markovian environment joint distribution mass function recursive formula supremum distribution.

An omega result for supremum norms of Hecke-eigenforms in the level aspect: 《Science China Mathematics》2010年第1期223-242,共20页LAU Yuk-Kam; supported by the Research Grants Council of the Hong Kong Special Administrative Region of China (Grant No.HKU 7032/06P); This note is to remark the large supremum norms of some Hecke-eigenforms of large squarefree levels and nebentypus of small conductors,based on the recent prominent progress by Soundararajan on the extreme central val...; 关键词：Hecke-eigenforms central values of L-FUNCTIONS

Moments of the maximum of normed partial sums of ρ^--mixing random variables被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2009年第3期355-360,共6页LIU Xiang-dong LIU Jin-xia; Supported by the National Natural Science Foundation of China (60874004); Let {Xn,n ≥ 1} be a sequence of identically distributed ρ^--mixing random variables and set Sn =∑i^n=1 Xi,n ≥ 1,the suffcient and necessary conditions for the existence of moments of supn≥1 ｜Sn/n^1/r｜^p（0 〈 r...; 关键词：moment of supremum of normed partial sum ρ^--mixing random variable

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