VECTOR-VALUED

作品数：52被引量：90H指数：5
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相关领域：理学更多>>
相关作者：华文龙刘让陈寅胡大海朱晓临更多>>
相关机构：合肥工业大学更多>>
相关期刊：《Science Bulletin》《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》更多>>
相关基金：国家自然科学基金国家教育部博士点基金河南省自然科学基金福建省自然科学基金更多>>
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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 
THE BSE PROPERTY FOR SOME VECTOR-VALUED BANACH FUNCTION ALGEBRAS
《Acta Mathematica Scientia》2024年第5期1945-1954,共10页Fatemeh ABTAHI Ali REJALI Farshad SAYAF 
In this paper,X is a locally compact Hausdorff space and A is a Banach algebra.First,we study some basic features of C0(X,A)related to BSE concept,which are gotten from A.In particular,we prove that if C0(X,A)has the ...
关键词：BSE algebras BSE-function BSE norm multiplier algebra SEMISIMPLE without order 
ε-arithmetics for real vectors and linear processing of real vector-valued signals
《Journal of Information and Intelligence》2023年第1期2-10,共9页Xiang-Gen Xia 
In this paper,we introduce a new concept,namelyε-arithmetics,for real vectors of any fixed dimension.The basic idea is to use vectors of rational values(called rational vectors)to approximate vectors of real values o...
关键词：Arithmetics Rational vectors Real vectors Rational field Algebraic number field Field extension Algebraic number Inner product Linear processing of real vector-valued signals 
Modeling motion and growth of multiple dendrites during solidification based on vector-valued phase field and two-phase flow models被引量：1
《Journal of Materials Science & Technology》2020年第23期171-187,共17页Jian-kun Ren Yun Chen Yan-fei Cao Ming-yue Sun Bin Xu Dian-zhong Li 
financially supported by the National Key Research and Development Program(No.2018YFA0702900);the National Natural Science Foundation of China(Nos.51774265 ,51701225);the National Science and Technology Major Project of China(No.2019ZX06004010);the Key Program of the Chinese Academy of Sciences(No.ZDRW-CN-2017-1);the Program of CAS Interdisciplinary Innovation Team;and Youth Innovation Promotion Association,CAS。
Movement and growth of dendrites are common phenomena during solidification.To numerically investigate these phenomena,two-phase flow model is employed to formulate the FSI(fluid-structure interaction)problem during d...
关键词：Phase field SOLIDIFICATION Two-phase flow Dendrite's motion Variable viscosity 
Vector-valued operators, optimal weighted estimates and the C_p condition
《Science China Mathematics》2020年第7期1339-1368,共30页María Eugenia Cejas Kangwei Li Carlos Pérez Israel Pablo Rivera-Ríos 
supported by the Basque Government through the Basque Excellence Research Centre 2018–2021 Program;Agencia Estatal de Investigacion/European Regional Development Fund of UE(Grant No.MTM 2017-82160-C2-1-P),Acronym“Harmonic Analysis and Quantum Mechanics”;Spanish Ministry of Economy and Competitiveness through Basque Center for Applied Mathematics Severo Ochoa Excellence Accreditation(Grant No.SEV-2013-0323);Universidad Nacional del Sur(Grant No.11/X752);Agencia Nacional de Promocion Cientifica y Tecnologica of Argentina(Grant No.PICT 2014-1771);Juan de la Cierva-Formacion2015(Grant No.FJCI-2015-24547);Consejo Nacional de Investigaciones Cientificas y Tecnicas/Proyectos de Investigacion Plurianuales of Argentina(Grant No.11220130100329CO)。
In this paper some new results concerning the C_p classes introduced by Muckenhoupt(1981)and later extended by Sawyer(1983),are provided.In particular,we extend the result to the full expected range p>0,to the weak no...
关键词：A_p weights quantitative estimates C_p estimates vector-valued extensions sparse domination maximal functions Calderon-Zygmund operators COMMUTATORS 
TOEPLITZ OPERATORS WITH POSITIVE OPERATOR-VALUED SYMBOLS ON VECTOR-VALUED GENERALIZED FOCK SPACES被引量：3
《Acta Mathematica Scientia》2020年第3期625-640,共16页Jianjun CHEN Xiaofeng WANG Jin XIA 
Supported by National Natural Science Foundation of China(11471084,11301101,11971125);Young Innovative Talent Project of Department of Edcucation of Guangdong Province(2017KQNCX220);the Natural Research Project of Zhaoqing University(221622).
In this article,we study some characterizations of Toeplitz operators with positive operator-valued function as symbols on the vector-valued generalized Bargmann-Fock spaces Fψ^2.Main results including Fock-Carleson ...
关键词：Toeplitz operator operator-valued symbol generalized Fock space 
CARLESON MEASURES AND THE GENERALIZED CAMPANATO SPACES OF VECTOR-VALUED MARTINGALES被引量：2
《Acta Mathematica Scientia》2018年第6期1779-1788,共10页Lin YU Ruhui WANG Shoujiang ZHAO 
supported by National Natural Science Foundation of China(11601267)
In this paper, the so-called（p,Ф）-Carleson measure is introduced and the rela-tionship between vector-valued martingales in the general Campanato spaces Lp,Ф（X） and the （p, Ф）-Carleson measures is investigate...
关键词：Carleson measures BMO martingales generalized Campanato spaces uni-formly convex （smooth） Banach spaces 
Multipliers on Vector-valued L^1-spaces for Hypergroups
《Acta Mathematica Sinica,English Series》2018年第7期1059-1073,共15页R.SARMA N.Shravan KUMAR Vishvesh KUMAR 
supported by senior research fellowship of CSIR,India
In this article, we extend the well known Wendel＇s theorem to the context of vector-valued L1-spaces on hypergroups. In this regard, various cases have been studied.
关键词：Vector-valued Ll-spaces HYPERGROUPS MULTIPLIERS translation invariant operators FOURIERTRANSFORM 
Global geometrical optics method for vector-valued Schrodinger problems
《Frontiers of Mathematics in China》2018年第3期579-606,共28页Jiashun HU Xiang MA Chunxiong ZHENG 
Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11371218, 91630205）.
We extend the theory of global geometrical optics method, proposed originally for the linear scalar high-frequency wave-like equations in [Commun. Math. Sci., 2013, 11（1）： 105-140], to the more general vector- valu...
关键词：Global geometrical optics method Hamiltonian system unitary representation CAUSTICS semiclassical approximation 
Vector-valued Inequalities for Commutators of Singular Integrals on Herz Spaces with Variable Exponents
《Communications in Mathematical Research》2017年第4期363-376,共14页WANG LI-WEI QU MENG SHU LI-SHENG Ji You-qing 
The NSF(11471033)of China
Based on the theory of variable exponents and BMO norms, we prove the vector-valued inequalities for commutators of singular integrals on both homogeneous and inhomogeneous Herz spaces where the two main indices are v...
关键词：variable exponent Herz spaces COMMUTATOR singular integral 
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