COMMUTATOR

作品数:220被引量:410H指数:10
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相关领域:理学更多>>
相关作者:于涛孙善利何云牛采银傅尊伟更多>>
相关机构:浙江师范大学北京航空航天大学广西大学中国矿业大学(北京)更多>>
相关期刊:《International Journal of Modeling, Simulation, and Scientific Computing》《China's Foreign Trade》《Journal of Partial Differential Equations》《Progress in Natural Science:Materials International》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>>
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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 
Essentially Commuting Truncated Toeplitz Operators
《Acta Mathematica Sinica,English Series》2024年第10期2453-2480,共28页Xi ZHAO Tao YU 
Supported by NNSFC(Grant No.11971087)。
A model space is a subspace of the Hardy space which is invariant under the backward shift,and a truncated Toeplitz operator is the compression of a Toeplitz operator on some model space.In this paper we prove a neces...
关键词:Truncated Toeplitz operator model space COMMUTATOR maximal ideal space compact operator 
Global Phase Portraits of Uniform Isochronous Centers System of Degree Six with Polynomial Commutator
《Acta Mathematicae Applicatae Sinica》2024年第3期577-599,共23页Li-na GUO Ai-yong CHEN Shuai-feng ZHAO 
supported by National Natural Science Foundation of China(No.12301197);Natural Science Foundation of Henan(No.232300420343);Science and Technology Research Project of Henan Province(No.232102210057);Scientific Research Foundation for Doctoral Scholars of Haust(No.13480077);Natural Science Foundation of Hunan(No.2021JJ30166)。
This paper studies the global phase portraits of uniform isochronous centers system of degree six with polynomial commutator.Such systems have the form x=-y+xf(x,y),y=x+yf(x,y),where f(x,y)=a_(1)x+a_(2)xy+a_(3)xy^(2)+...
关键词:global phase portraits uniform isochronous center polynomial commutator invariant straight lines 
Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces
《Acta Mathematica Sinica,English Series》2024年第8期1967-1988,共22页Jian Xiang DONG Chun Xu XU Yu Feng LU 
Supported by NSFC(Grant No.12031002)。
In this paper,we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock spaces,and the compactness of the finite sum of two dual Toeplitz oper...
关键词:Block dual Toeplitz operators BOUNDEDNESS COMPACTNESS Fock space (semi)-commutator 
Products of Commutator Ideals of Some Lie-admissible Algebras
《Acta Mathematica Sinica,English Series》2024年第8期1875-1892,共18页Ivan KAYGORODOV Farukh MASHUROV Tran Giang NAM Ze Rui ZHANG 
supported by FCT(Grant No.UIDB/00212/2020);FCT(Grant No.UIDP/00212/2020);supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan(Grant No.AP14869221);by“Tayelsizdik urpaqtary”MISD RK;partially supported by the Simons Foundation Targeted Grant for the Institute of Mathematics–VAST(Grant No.558672);by the Vietnam Institute for Advanced Study in Mathematics(VIASM);supported by the NNSF of China(Grant No.12101248);by the China Postdoctoral Science Foundation(Grant No.2021M691099)。
In this article,we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras,bicommutative algebras,and assosymmetric algebras.More precisely,we first study the properties of t...
关键词:Novikov algebra bicommutative algebra assosymmetric algebra Lie nilpotent algebra 
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 Pseudo-Differential Operator and Its Commutator on Generalized Fractional Weighted Morrey Spaces
《Analysis in Theory and Applications》2024年第1期92-110,共19页Guanghui Lu Shuangping Tao 
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 aim of this paper is to establish the boundedness of bilinear pseudodifferential operator T_(σ) and its commutator[b_(1),b_(2),T_(σ)]generated by T_(σ) and b_(1),b_(2) BMO(R^(n))on generalized fractional weight...
关键词:Generalized fractional weighted Morrey space bilinear pseudo-differential operator COMMUTATOR space BMO(R^(n)) 
Two-Weighted Estimate for Generalized Fractional Integral and its Commutator on Generalized Fractional Morrey Spaces
《Journal of Mathematical Study》2023年第4期345-356,共12页Guanghui Lu Shuangping Tao 
supported in part by the Youth Science and Technology Fund of Gansu Province(Grant No.22JR5RA173);Young Teachers'Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07);Innovation Fund Project for Higher Education of Gansu Province(Grant No.2020A-010).
The aim of this paper is to establish the mapping properties of generalized fractional integral I_(ρ)and its commutator[b,I_(ρ)]formed by b∈BMO(R^(n))and the I_(ρ)on generalized fractional weighted Morrey spaces L...
关键词:Generalized fractional integral COMMUTATOR space BMO(1Rn) TWO-WEIGHT generalized fractional Morrey space 
A Characterization of the Mixed Radial-Angularλ-Central Bounded Mean Oscillation Spaces
《Journal of Mathematical Research with Applications》2023年第6期681-690,共10页Ronghui LIU Suixin HE 
Supported by the Fundamental Mathematics Research Program of Yili Normal University(Grant No.2021YSY B071);the Doctoral Scientific Research Foundation of Northwest Normal University(Grant No.202203101202);the Young Teachers Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2023-15)。
In this paper,we establish a characterization of the mixed radial-angularλ-central bounded mean oscillation spaces via the boundedness of the commutators Hb and its dual Hb*with a function b∈CMOL_(rad)^(p2,λ)L_(ang...
关键词:Hardy operator COMMUTATOR mixed radial-angular space 
Commuting Toeplitz Operators on Fock-Sobolev Spaces of Negative Orders
《Acta Mathematica Sinica,English Series》2023年第10期1989-2005,共17页Hong Rae CHO Han-Wool LEE 
supported by NRF of Korea(Grant No.NRF-2020R1F1A1A01048601);supported by NRF of Korea(Grant No.NRF-2020R1I1A1A01074837)。
In the setting of Fock-Sobolev spaces of positive orders over the complex plane,Choe and Yang showed that if the one of the symbols of two commuting Toeplitz operators with bounded symbols is non-trivially radial,then...
关键词:Fock–Sobolev spaces commutator of Toeplitz operators Mellin Transform Confluent Hypergeometric Function 
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