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COMMUTATORS: 作品数：196被引量：407H指数：11; 导出分析报告; 相关领域：理学更多>>; 相关作者：颜立新邓东皋于涛孙善利更多>>; 相关机构：中山大学浙江师范大学北京航空航天大学北京师范大学更多>>; 相关期刊：《Communications in Theoretical Physics》《Algebra Colloquium》《Acta Mathematicae Applicatae Sinica》《Journal of Mathematical Study》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国家教育部博士点基金北京市自然科学基金更多>>

On Weighted Compactness of Commutators of Bilinear Vector-valued Singular Integral Operators and Applications: 《Acta Mathematica Sinica,English Series》2025年第1期169-190,共22页Zhengyang Li Liu Lu Fanghui Liao Qingying Xue; supported by the National Natural Science Foundation of China(Grant No.12101222);National Natural Science Foundation of China(Grant No.12271041);Scientific Research Fund of Hunan Provincial Education Department(Grant No.23B0458);supported by the Scientific Research Fund of Hunan Provincial Education Department(Grant No.22B0155);partly supported by the National Key R&D Program of China(Grant No.2020YFA0712900)。; Let T be a bilinear vector-valued singular integral operator satisfies some mild regularity conditions,which may not fall under the scope of the theory of standard Calder¬on–Zygmund classes.For anyb^(→)=(b_(1),b_(2)...; 关键词：Weighted compactness COMMUTATORS multilinear square functions Fourier multiplier operator

Commutators of Fractional Maximal Functions on Orlicz Spaces over Non-Homogeneous Metric Spaces: 《Journal of Mathematical Research with Applications》2024年第6期782-794,共13页Guanghui LU Xuemei LI; the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);Master Foundation of Northwest Normal University(Grant No.2022KYZZ-S121).; Let(X,d,μ)be a non-homogeneous metric measure space satisfying the geometrically doubling condition and the upper doubling condition.In this setting,the authors prove that the commutator M_(b)^(α)formed by b∈RBMO(...; 关键词：Non-homogeneous metric measure space fractional maximal function COMMUTATOR space RBMO(μ) Orlicz space

Weighted multilinear p-adic Hardy operators and commutators on p-adic Herz-type spaces: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第3期554-570,共17页MA Teng ZHOU Jiang; In this paper,we introduce the weighted multilinear p-adic Hardy operator and weighted multilinear p-adic Ces`aro operator,we also obtain the boundedness of these two operators on the product of p-adic Herz spaces and...; 关键词：Morrey-Herz spaces weighted multilinear p-adic Hardy operator COMMUTATORS operator norms

Sharp bilinear decomposition for products of both anisotropic Hardy spaces and their dual spaces with its applications to endpoint boundedness of commutators: 《Science China Mathematics》2024年第9期2091-2152,共62页Jun Liu Dachun Yang Mingdong Zhang; supported by National Natural Science Foundation of China(Grant Nos.12001527,11971058 and 12071197);the Natural Science Foundation of Jiangsu Province(Grant No.BK20200647);the Postdoctoral Science Foundation of China(Grant No.2021M693422)。; Let a:=(a_(1),...,a_(n))2[1,∞)^(n),p∈(0,1),andα:=1/p-1.For any x∈R^(n)and t∈[0,∞),letΦ_(p)(x,t):={t/1+(t[x]_(a)^(ν))^(1-p)if να■N,t/1+(t[x]_(a)^(ν))^(1-p)[log(e+|x|a)]^(p)if να∈N,let where [·]a:=1+|·|...; 关键词：anisotropic Euclidean space bilinear decomposition Hardy space Campanato space Musielak-Orlicz Hardy space commutator wavelet

Definite Answer for Riemann Hypothesis Zeta 3/2 Function Provided by New Material Yb2Si2O7 in Quantum Mechanics: 《Journal of Modern Physics》2024年第9期1409-1429,共21页Hung-Te Henry Su Po-Han Lee; This paper indicates the problem of the famous Riemann hypothesis (RH), which has been well-verified by a definite answering method using a Bose-Einstein Condensate (BEC) phase. We adopt mathematical induction, mappin...; 关键词：BEC Phases EIT Heisenberg Commutators Laser Photons QUBITS Riemann Hypothesis

On von Neumann Regularity of Commutators: 《Algebra Colloquium》2024年第2期181-198,共18页Nam Kyun Kim Tai Keun Kwak Yang Lee Sung Ju Ryu Nanqing Ding; We study the structure of rings which satisfy the von Neumann regularity of commutators,and call a ring R C-regularif ab-ba ∈(ab-ba)R(ab-ba)for all a,b in R.For a C-regular ring R,we prove J(R[X])=N^(*)(R[X])=N^(*)(R...; 关键词：C-regular ring COMMUTATOR regular ring commutative ring RADICAL singular ideal

Bilinear Strongly Singular Calderón-Zygmund Operators and Their Commutators on Non-Homogeneous Generalized Morrey Spaces被引量：1: 《Journal of Mathematical Research with Applications》2024年第1期43-62,共20页Guanghui LU Miaomiao WANG; Supported by the National Natural Science Foundation of China(Grant No.12201500);the Science Foundation for Youths of Gansu Province(Grant No.22JR5RA173);the Young Teachers’Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07)。; The main goal of this paper is to establish the boundedness of bilinear strongly singular operator T^(-)and its commutator Tb_(1),b_(2)on generalized Morrey spaces M_(p)^(u)(μ)over non-homogeneous metric measure spac...; 关键词：non-homogeneous metric measure space bilinear strongly singular Calder´on-Zygmund operator commutator space~RBMO(μ) generalized Morrey space

Boundedness of Commutators for Multilinear Marcinkiewicz Integrals with Generalized Campanato Functions on Generalized Morrey Spaces: 《Journal of Mathematical Study》2023年第4期412-438,共27页Fuli Ku; supported in part by the scientific research start-up fund project for introducing high-level talents from Sanming University(No.23YG09).; This paper is devoted to exploring the mapping properties for the commutatorμ_(Ω),(b)generated by multilinear Marcinkiewicz integral operatorsμΩwith a locally integrable function(b)=(b_(1),…,b_(m))on the generali...; 关键词：MULTILINEAR Marcinkiewicz integrals COMMUTATORS generalized Campanato spaces generalized Morrey spaces

Characterization of Lipschitz Functions via Commutators of Multilinear Singular Integral Operators in Variable Lebesgue Spaces: 《Acta Mathematica Sinica,English Series》2023年第12期2465-2488,共24页Jiang Long WU Pu ZHANG; Supported by the National Natural Science Foundation of China(Grant No.11571160);the Research Funds for the Educational Committee of Heilongjiang(Grant No.2019-KYYWF-0909);the Reform and Development Foundation for Local Colleges and Universities of the Central Government(Grant No.2020YQ07)。; Let 6=(bi,b2,...,bm)be a collection of locally integrable functions and T,the com-mutator of multilinear singular integral operator T.Denote by L(δ)and L(δ(·))the Lipschitz spaces and the variable Lipschitz spaces,...; 关键词：Multilinear commutator singular integral operator Lipschitz function variable exponent

THE FRACTIONAL TYPE MARCINKIEWICZ INTEGRALS AND COMMUTATORS ON WEIGHTED HARDY SPACES: 《Acta Mathematica Scientia》2023年第5期1981-1996,共16页韩妍妍伍火熊; supported by the NSFC(12171399,12271041).; This paper is devoted to studying the behaviors of the fractional type Marcinkiewicz integralsμΩ,βand the commutatorsμΩ,βb generated byμΩ,βwith b b∈Lloc(Rn)on weighted Hardy spaces.Under the assumption of th...; 关键词：fractional type Marcinkiewicz integrals COMMUTATORS Muckenhoupt weights BMO spaces Hardy spaces

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