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    题名 作者 年代 出处 被引量
1Weighted estimates for the multilinear singular integral operators with non-smooth kernels显示文摘In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels.HU GuoEn1 & LU ShanZhen2 1Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China 2Department of Mathematics, Beijing Normal University, Beijing 100875, China 2011Science China Mathematics2011,54,3:7
2Commutators of Weighted Lipschitz Functions and Multilinear Singular Integrals with Non-Smooth Kernels显示文摘This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels and the weighted Lipschitz functions.Some mapping properties for two types of commutators on the weighted Lebesgue spaces,which extend and generalize some previous results,are obtained.LIAN Jia-li MA Bo-lin WU Huo-xiong 2011Applied Mathematics(A Journal of Chinese Universities)2011,26,3:3
3WEIGHTED ESTIMATES WITH GENERAL WEIGHTS FOR MULTILINEAR CALDER N-ZYGMUND OPERATORS显示文摘In this paper, some weighted estimates with general weights are established for the m-linear Caldern-Zygmund operator and the corresponding maximal operator. It is proved that, if p1 , ··· , pm ∈ [1, ∞] and p ∈ (0, ∞) with 1/p = ∑m k=1 1/pk , then for any weight w, integer ■with 1 ≤■≤ m, these operators are bounded from L p 1 (Rn , MBw) ×···× Lp■(Rn , MBw) × Lp +1 (Rn , Mw) ×···× Lp m (Rn , Mw) to Lp, ∞ (R n , w) or L p (R n , w), where B is a Young function and M B is the maximal operator associated with B.胡国恩 2012Acta Mathematica Scientia2012,32,4:1
4多线性Fourier乘子算子的加权估计显示文摘本文考虑多线性Fourier乘子算子在加权Lebesgue空间的乘积空间上的性质,利用多线性Fourier乘子算子的核估计以及多线性奇异积分算子的加权理论,建立多线性Fourier乘子算子的(关于多重Ap/r(Rmn)权函数以及关于一般权函数的)两个加权估计.胡国恩 2014中国科学:数学2014,44,5:1
5Weighted Estimates for the Iterated Commutators of Multilinear Operators with Mild Regularity Kernels显示文摘In this paper, we study the iterated commutators of BMO functions and multilinear operators kernel of which satisfies some mild regularity condition. Some new properties for the commutator on weighted Lebesgue spaces are established.Jie SUN Xianliang SHI 2017Journal of Mathematical Research with Applications2017,37,3:0
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