MULTILINEAR

作品数：106被引量：192H指数：8
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相关领域：理学自动化与计算机技术更多>>
相关作者：谢佩吴小俊杨海燕刘国栋何丽芳更多>>
相关机构：江南大学华南理工大学西北工业大学德州学院更多>>
相关期刊：《Chinese Physics Letters》《Acta Mathematicae Applicatae Sinica》《国际计算机前沿大会会议论文集》《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河北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 
New interaction solutions of the(2+1)-dimensional Nizhnik–Novikov–Veselov-type system and fusion phenomena
《Communications in Theoretical Physics》2024年第10期7-11,共5页Guo-Hua Wang Ji Lin Shou-Feng Shen 
supported by the National Natural Science Foundation of China (11771395)。
By means of the multilinear variable separation(MLVS) approach, new interaction solutions with low-dimensional arbitrary functions of the(2+1)-dimensional Nizhnik–Novikov–Veselovtype system are constructed. Four-dro...
关键词：interaction solution NNV-type system multilinear variable separation FUSION 
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 
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 
A Remark on Weighted(L^(p),L^(r))-Boundedness for Rough Multilinear Oscillatory Singular Integrals
《Journal of Mathematical Study》2023年第4期392-411,共20页Weijin Yan 
supported in part by the Natural Science Foundation of China(Grant Nos.12171399 and 11871101).
This paper studies the weighted(L^(p),L^(r))-boundedness for a class of multi-linear oscillatory singular operators with real-valued polynomial phases and rough homogeneous kernels belonging to Llog^(+)L(S^(n-1)),and ...
关键词：Multilinear oscillatory singular integrals rough kernel BLO function WEIGHT 
Maximal Operators of Multilinear Singular Integrals on Weighted Hardy Type Spaces
《Chinese Annals of Mathematics,Series B》2023年第3期391-406,共16页Yongming WEN Huoxiong WU Qingying XUE 
supported by the National Natural Science Foundation of China(Nos.11871101,12171399);NSFC-DFG(No.11761131002);the Natural Science Foundation of Fujian Province(No.2021J05188);the Scientific Research Project of The Education Department of Fujian Province(No.JAT200331);the President’s fund of Minnan Normal University(No.KJ2020020);the Institute of Meteorological Big Data-Digital Fujian,Fujian Key Laboratory of Data Science and Statistics and Fujian Key Laboratory of Granular Computing and Applications(Minnan Normal University)。
In this paper,the authors show that the maximal operators of the multilinear Calderón-Zygmund singular integrals are bounded from a product of weighted Hardy spaces into a weighted Lebesgue spaces,which essentially e...
关键词：Weighted Hardy spaces Variable Hardy spaces Maximal operators Multilinear Calderón-Zygmund operators Multiple weights 
变指标中心Morrey空间上带Dini核的多线性C-Z算子
《Chinese Quarterly Journal of Mathematics》2023年第2期184-195,共12页马腾 
In this paper, we obtain the boundedness of multilinear Calderón-Zygmund operators with kernels of Dini type and commutators with variable exponent λ-central BMO functions in variable exponent central Morrey spaces.
关键词：Multilinear Calder´on-Zygmund operators Variable exponent Central Morrey spaces BMO 
Boundedness of the Multilinear Maximal Operator with the Hausdorff Content
《Analysis in Theory and Applications》2023年第1期42-52,共11页Shao Liu Qianjun He Dunyan Yan 
supported by the National Natural Science Foundation of China (Grant Nos.11871452 and 12071473);Beijing Information Science and Technology University Foundation (Grant No.2025031).
In this paper,we establish the strong and weak boundedness of the multilinear maximal operator in the setting of the Choquet integral with respect to theαdimensional Hausdorff content.Our results cover Orobitg and Ve...
关键词：Multilinear maximal operator Hausdorff content Choquet integrals 
Two Weighted Estimates for the Commutators of Multilinear Maximal Singular Integral Operators with Dini-type Kernels
《Acta Mathematica Sinica,English Series》2023年第3期459-480,共22页Chun Mei ZHANG 
Supported by NSFC(Grant No.11871101)。
The main purpose of this paper is to investigate the properties of the higher order commutators of maximal Calderón-Zygmund operators with Dini-type kernels.Two weighted estimates have been established for these comm...
关键词：COMMUTATORS sparse domination multlinear maximal singular integral operators Dinitype kenels two weighted boundedness 
BOUNDS FOR MULTILINEAR OPERATORS UNDER AN INTEGRAL TYPE CONDITION ON MORREY SPACES被引量：1
《Acta Mathematica Scientia》2022年第3期1191-1208,共18页Qianjun HE Xinfeng WU Dunyan YAN 
supported by National Natural Science Foundation of China(11871452,12071473);the Beijing Information Science and Technology University Foundation(2025031)。
In this paper,we study a boundedness property of the Adams type for multilinear fractional integral operators with the multilinear L^(r′,α)-Hörmander condition and their commutators with vector valued BMO functions ...
关键词：Multilinear fractional integral L^(r′ α)-Höormander condition COMMUTATORS BMO spaces Morrey spaces multilinear Fourier multiplier 
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