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INEQUALITY: 作品数：1088被引量：1496H指数：17; 导出分析报告; 相关领域：理学更多>>; 相关作者：徐利治高明哲赵长健刘证王杰更多>>; 相关机构：大连理工大学吉首大学湖南大学北京师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金广东省自然科学基金更多>>

Hörmander oscillatory integral operators:A revisit: 《Science China Mathematics》2025年第4期873-890,共18页Chuanwei Gao Zhong Gao Changxing Miao; supported by the National Key R&D Program of China(Grant No.2022YFA1005700);supported by National Natural Science Foundation of China(Grant No.12301121);supported by National Natural Science Foundation of China(Grant No.12371095)。; In this paper,we present new proofs for both the sharp Lp estimate and the decoupling theorem for the Hörmander oscillatory integral operator.The sharp Lp estimate was previously obtained by Stein(1986)and Bourgain an...; 关键词：Hormander oscillatory integral operators bilinear method decoupling inequality induction argument Broad-Narrow analysis

Quantum convolution inequalities on Frobenius von Neumann algebras: 《Science China Mathematics》2025年第3期615-636,共22页Linzhe Huang Zhengwei Liu Jinsong Wu; supported by Beijing Municipal Science&Technology Commission,Administrative Commission of Zhongguancun Science Park(Grant No.Z221100002722017);supported by grants from Beijing Institute of Mathematical Sciences and Applications;supported by China’s National Key R&D Programmes(Grant No.2020YFA0713000);Tsinghua University(Grant No.04200100122);Templeton Religion Trust(TRT 159);supported by Beijing Natural Science Foundation Key Program(Grant No.Z220002);supported by National Natural Science Foundation of China(Grant Nos.12031004 and 12371124)。; In this paper,we introduce Frobenius von Neumann algebras and study quantum convolution inequalities.In this framework,we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebra...; 关键词：Frobenius von Neumann algebra quantum Young's inequality quantum entropic convolution inequality unitary categorification

An Approximation Method for Singular Trudinger-Moser Inequality: 《应用数学》2025年第1期64-70,共7页ZHU Maochun XU Wenyan JIANG Rou; In this paper,we construct a power type functional which is the approximation functional of the Singular Trudinger-Moser functional.Moreover,we obtain the concentration level of the functional and show it converges to...; 关键词：Singular Trudinger-Moser inequality Approximation functional Concentration level

A FUNCTIONAL ORLICZ BUSEMANN-PETTY CENTROID INEQUALITY FOR LOG-CONCAVE FUNCTIONS: 《Acta Mathematica Scientia》2025年第1期52-71,共20页Xiao LI Jiazu ZHOU; Supported in part by NSFC(12071378,12461009),20XLB012,KJQN202100527,CSTB2022NSCQ-MSX0259 and KJQN202300557.; In this paper,the Orlicz centroid function for log-concave functions is introduced.A rearrangement inequality of the Orlicz centroid function for log-concave functions is obtained.The rearrangement inequality implies ...; 关键词：centroid bodies Busemann-Petty centroid inequality log-concave functions Steiner symmetrization

MODIFIED BRASCAMP-LIEB INEQUALITIES AND LOG-SOBOLEV INEQUALITIES FOR ONE-DIMENSIONAL LOG-CONCAVE MEASURE: 《Acta Mathematica Scientia》2025年第1期104-117,共14页Denghui WU Jiazu ZHOU; Supported in part by the NSFC(12071378,12461009);the Natural Science Basic Research Program of Shaanxi(2023-JC-YB-036);the Shaanxi Fundamental Science Research Project for Mathematics and Physics(23JSQ033).; In this paper,we develop Maurey’s and Bobkov-Ledoux’s methods to prove modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave measure.To prove these inequalities,the harmoni...; 关键词：Brunn-Minkowski inequality Prékopa-Leindler inequality Brascamp-Lieb inequality log-Sobolev inequality log-concave measure

Environmental Inequality in China’s Urban Expansion:A Case Study of Guangzhou,China: 《Chinese Geographical Science》2025年第1期187-202,共16页WANG Shaogu SHEN Jing; Under the auspices of the National Natural Science Foundation of China(No.42271181,41871111)。; Environmental inequality is a prevalent issue in developing countries undergoing urban expansion.Urban expansion induces the formation and evolution of environmental inequality by creating environmental and structural...; 关键词：environmental inequality urban expansion spatiotemporal evolution additive semiparametric quantile regression Guangzhou China

On Algebraic Methods for the Riemann Hypothesis: 《Advances in Pure Mathematics》2025年第1期1-35,共35页Michael Mark Anthony; Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli ...; 关键词：Gamma Function Zeta Function Bernoulli Numbers Robin Inequality Twin Primes PRIMES

Migration experience and risky financial assets investments of county households:evidence from China: 《The Journal of Chinese Sociology》2024年第1期489-509,共21页Yunliang Zhang Xiaobin He Jiankun Liu; funded by the Major Project of the National Social Science Fund of China(No:22&ZD191).; Enhancing the support for inclusive finance in county economies is crucial in achiev-ing the strategic goal of building financial power.Drawing upon the theoretical lens of county-level inclusive financial accessibili...; 关键词：Migration experience Financial assets investment Housing inequality Financial concept Social class

Evaluating urban development and socio-economic disparity in India through nighttime light data: 《Journal of Geographical Sciences》2024年第12期2440-2456,共17页YU Jingtong LIU Lingcen BAN Yifang ZHANG Qian; Strategic Priority Research Program of Chinese Academy of Sciences,No.XDA20010303。; Balanced development and the reduction of inequality are central objectives of the United Nations Sustainable Development Goals(SDGs).This study explores the use of Nighttime Light(NTL)brightness and the Nighttime Lig...; 关键词：socio-economic inequality Nighttime Light Development Index(NLDI) regional disparity Indian cities

Polar Decomposition-based Algorithms on the Product of Stiefel Manifolds with Applications in Tensor Approximation: 《Journal of the Operations Research Society of China》2024年第4期874-920,共47页Jian-Ze Li Shu-Zhong Zhang; supported by the National Natural Science Foundation of China(No.11601371);the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515010232).; In this paper,we propose a general algorithmic framework to solve a class of optimization problems on the product of complex Stiefel manifolds based on the matrix polar decomposition.We establish the weak convergence,...; 关键词：Tensor approximation Manifold optimization Polar decomposition Convergence analysis Łojasiewicz gradient inequality Morse–Bott property

INEQUALITY