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LITTLEWOOD: 作品数：98被引量：105H指数：5; 导出分析报告; 相关领域：理学文化科学更多>>; 相关作者：马丽束立生傅尊伟江寅生刘宗光更多>>; 相关机构：北京师范大学赣南师范大学安徽师范大学北京大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金安徽省高校省级自然科学研究项目国家重点基础研究发展计划更多>>

Musielak–Orlicz–Lorentz Hardy Spaces:Maximal Function,Finite Atomic,and Littlewood–Paley Characterizations with Applications to Dual Spaces and Summability of Fourier Transforms: 《Acta Mathematica Sinica,English Series》2025年第1期1-77,共77页Hongchao Jia Der-Chen Chang Ferenc Weisz Dachun Yang Wen Yuan; partially supported by the National Key Research and Development Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant Nos.12371093,12071197,and 12122102);the Fundamental Research Funds for the Central Universities(Grant No.2233300008);partially supported by a McDevitt Endowment Fund at Georgetown University。; Let q∈(0,∞]andϕbe a Musielak-Orlicz function with uniformly lower type p_(ϕ)^(−)∈(0,∞)and uniformly upper type p_(ϕ)^(−)∈(0,∞).In this article,the authors establish various realvariable characterizations of the ...; 关键词：Musielak-Orlicz-Lorentz Hardy space finite atom duality Littlewood-Paley characterization Fourier transform

Triples of almost primes: 《Science China Mathematics》2023年第12期2779-2794,共16页Jiamin Li Jianya Liu; supported by the National Key Research and Development Program of China (Grant No. 2021YFA1000700);National Natural Science Foundation of China (Grant No. 12031008)。; The k-tuple conjecture of Hardy and Little wood predicts that there are infinitely many primes p such that p+2 and p+6 are primes simultaneously.In this paper,we prove that there are infinitely many primes p such that...; 关键词：the k-tuple conjecture of Hardy and Littlewood almost prime vector sieve weighted sieve

Improved Hardy–Littlewood–Sobolev Inequality on S^(n)under Constraints: 《Acta Mathematica Sinica,English Series》2023年第11期2149-2163,共15页Yun Yun HU Jing Bo DOU; the National Science Foundation of China(Grant Nos.12101380,12071269);China Postdoctoral Science Foundation(Grant No.2021M700086);Youth Innovation Team of Shaanxi Universities and the Fundamental Research Funds for the Central Universities(Grant Nos.GK202307001,GK202202007)。; In this paper,we establish an improved Hardy–Littlewood–Sobolev inequality on Snunder higher-order moments constraint.Moreover,by constructing precise test functions,using improved Hardy–Littlewood–Sobolev inequal...; 关键词：Hardy–Littlewood–Sobolev inequality higher-order moments constraint concentration compactness principle almost optimal

Stability of Navier–Stokes System with Singular External Force in Fourier–Herz Space: 《Acta Mathematica Sinica,English Series》2023年第7期1203-1218,共16页De Zai MIN Qing Kai WANG Gang WU Zhuo Ya YAO; Supported by the National Natural Science Foundation of China (Grant No. 11771423)。; We prove the asymptotic properties of the solutions to the 3D Navier–Stokes system with singular external force, by making use of Fourier localization method, the Littlewood–Paley theory and some subtle estimates in...; 关键词：3D Navier–Stokes equations Fourier–Herz spaces singular external force Littlewood–Paley theory STABILITY

Waring−Goldbach problem for one prime power and four prime cubes under Riemann Hypothesis: 《Frontiers of Mathematics in China》2023年第2期139-146,共8页Xiaoming PAN Liqun HU; the National Natural Science Foundation of China(Grant No.11761048);the Natural Science Foundation of Jiangxi Province for Distinguished Young Scholars(Grant No.20212ACB211007);Natural Science Foundation of Jiangxi Province(Grant No.20224BAB201001).; Let k≥1 be an integer.Assume that RH holds.In this paper we prove that a suitable asymptotic formula for the average number of representations of integers n=p^(k)_(1)+p^(3)_(2)+p^(3)_(3)+p^(3)_(4)+p^(3)_(5),where p_(...; 关键词：Hardy−Littlewood method Waring−Goldbach problem Riemann Hypothesis short intervals

Vertex Operators, Littlewood-Richardson Rule for Generalized Symplectic Schur Functions: 《Chinese Quarterly Journal of Mathematics》2022年第3期301-316,共16页HUANG Fang CHU Yan-jun; Supported by National Natural Science Foundation of China(Grant No.11226192).; Littlewood-Richardson rule gives the expansion formula for decomposing a product of two Schur functions as a linear sum of Schur functions,while the decomposition formula for the multiplication of two symplectic Schur...; 关键词：Schur functions Littlewood-Richardson coefficient Symplectic Schur functions Vertex operators

Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type:Littlewood–Paley Characterizations with Applications to Boundedness of Calderón–Zygmund Operators被引量：1: 《Acta Mathematica Sinica,English Series》2022年第7期1133-1184,共52页Xian Jie YAN Zi Yi HE Da Chun YANG Wen YUAN; Supported by the National Key Research and Development Program of China(Grant No.2020YFA0712900);the National Natural Science Foundation of China(Grant Nos.11971058,12071197 and 11871100);the Fundamental Research Funds for the Central Universities(Grant Nos.500421359 and 500421126)。; Let(X,ρ,μ)be a space of homogeneous type in the sense of Coifman and Weiss,and Y(X)a ball quasi-Banach function space on X,which supports both a Fefferman–Stein vector-valued maximal inequality and the boundedness ...; 关键词：ball quasi-Banach function space Hardy space space of homogeneous type Littlewood-Paley function Calderón-Zygmund operator

The Most Likely Common Difference of Arithmetic Progressions Among Primes: 《Communications in Mathematics and Statistics》2021年第3期315-329,共15页Xiaosheng Wu Pengzhen Yang; Let d^(∗)_(k)(x)be the most likely common differences of arithmetic progressions of length k+1 among primes≤x.Based on the truth of Hardy–Littlewood Conjecture,we obtain that lim x→+∞d^(∗)_(k)(x)(x)=+∞uniformly i...; 关键词：Common difference Arithmetic progression Hardy–Littlewood Conjecture Differences among primes Singular series

Quasi-periodic solutions for the general semilinear Duffing equations with asymmetric nonlinearity and oscillating potential: 《Science China Mathematics》2021年第5期931-946,共16页Xinli Zhang Yaqun Peng Daxiong Piao; supported by National Natural Science Foundation of China (Grant No.11571327)。; In this paper,we prove the existence of quasi-periodic solutions and the boundedness of all the solutions of the general semilinear quasi-periodic differential equation x′′+ax^(+)-bx^(-)=G_x(x,t)+f (t),where x^(+)=m...; 关键词：quasi-periodic solutions asymmetric oscillator Littlewood's boundedness problem invariant curves

Singular integral operators on product domains along twisted surfaces被引量：1: 《Frontiers of Mathematics in China》2021年第1期13-28,共16页Ahmad AL-SALMAN; We introduce a class of singular integral operators on product domains along twisted surfaces.We prove that the operators are bounded on L^(p) provided that the kernels satisfy weak conditions.; 关键词：Singular integral operators on product domains rough kernels L^(p)estimates Hardy Littlewood maximal function truncated maximal singular integrals twisted surfaces block spaces

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