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Communications in Mathematical Research 2017年第3期33卷 238-258页

作者： hu yuan-zhu xu jing-shi ji you-qing School of Mathematics and Statistics Hainan Normal University Haikou 571158 不详

In this paper, we obtain that multilinear calderón-zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-value... 详细信息

关键词： multilinear calderón-zygmund operator variable exponent Herz-Morrey space vector valued estimate

Weighted estimates for iterated commutators of multilinear calderón-zygmund operators on non-homogeneous metric measure spaces

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Science China Mathematics 2021年第3期64卷 519-546页

作者： Yuan Zhao Haibo Lin Yan Meng College of Science China Agricultural UniversityBeijing 100083China School of Mathematics Renmin University of ChinaBeijing 100872China

Let(X, d, μ) be a non-homogeneous metric measure space satisfying the so-called upper doubling and geometrically doubling conditions, which includes the space of homogeneous type and the Euclidean space with the non-doubling measure as special cases. Let T be a multilinear calderón-zygmund operator and b:=(b1,..., bm) be a finite family of RBMO(μ) functions. In this paper, some weak-type multiple weighted estimates for the iterated commutator T∏bgenerated by T and b are obtained.

关键词： non-homogeneous metric measure space multiple weight commutator multilinear calderón-zygmund operator

Multi-weight, Weighted Weak Type Estimates for the multilinear calderón-zygmund operators

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Journal of Mathematical Research and Exposition 2011年第5期31卷 855-862页

作者： Yu Lan JIAO Zheng Gang CHEn Zhengzhou Information Engineering University P. O. Box 2201-160 Henan 450001 P. R. China Zhengzhou Information Engineering University P. O. Box 1001-747 Henan 450002 P. R. China

Let m be an integer and T be an m-linear calderón-zygmund operator, u, v1,..., vm be weights. In this paper, the authors give some sufficient conditions on the weights （u, vk） with 1 ≤ k ≤ m, such that T is bound... 详细信息

关键词： multilinear calderón-zygmund operator weighted norm inequalities calderón- zygmund decomposition maximal operators.

Weak Type Weighted Inequalities for the Commutators of the multilinear calderón-zygmund operators

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Analysis in Theory and Applications 2015年第3期31卷 244-252页

作者： Wenming Li Tingting Zhang Limei Xue School of Mathematics and Informaion Science Hebei Normal University School of Mathematics and Science Shijiazhuang University of Economics

For the commutators of multilinear calder ′on-zygmund singular integral operators with B MO functions, the weak type weighted norm inequalities with respect to A^P weights are obtained.

关键词： Commutator multilinear calderón-zygmund operator multilinear maximal function weight

WEIGHTED nORM InEQUALITIES FOR THE COMMUTATORS OF multilinear SInGULAR InTEGRAL operatorS

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Acta Mathematica Scientia 2011年第3期31卷 749-764页

作者： Hu Guoen Zhu Yueping Department of Applied Mathematics Zhengzhou Information Science and Technology Institute Zhengzhou 450002 China School of Science Nantong University Nantong 226007 China

In this paper, the authors consider the weighted estimates for the commutators of multilinear calderón-zygmund *** introducing an operator which shifts the commutation, and establishing the weighted estimates for this new operator, the authors prove that, if p_1 ∈ （1,∞）, p_2,…,p_m ∈（1,∞], p ∈ （0,∞） with 1/p =Σ1≤k≤ m 1/pk, then for any weight w, the commutators of m-linear Galderón-zygmund operator are bounded from L P1（R n,M_l（logL） σw）× p2（Rn,M~w）×...×Lpm（Rn,Mw） to Lp（Rn,w）with σ to be a constant depending only on p_1 and the order of commutator

关键词： multilinear calderón-zygmund operator weighted norm inequality commutator caldern-zygmund decomposition