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1.
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(R^mn)权函数以及关于一般权函数的)两个加权估计.  相似文献   

2.
Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the BLO(Rn) estimate for the maximal multilinear singular integral operators.  相似文献   

3.
This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates, the weighted norm inequalities for this kind of commutators are established.  相似文献   

4.
In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are obtained. The operators include Calderón—Zygmund singular integral operator, fractional integral operator, Littlewood—Paley operator and Marcinkiewicz operator.  相似文献   

5.
该文对带非光滑核的多线性奇异积分算子建立了sharp函数估计,作为应用,得到了该多线性奇异积分算子的L~p(1p∞)范数不等式.  相似文献   

6.
In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular integral operators.  相似文献   

7.
刘岚喆 《数学学报》2011,(3):503-512
本文对由强奇异积分算子和加权Lipschitz函数生成的多线性交换子证明了其sharp极大函数估计,作为应用,得到了该多线性交换子的连续性.  相似文献   

8.
The boundedness on Triebel-Lizorkin and Lebesgue spaces of the multilinear operators associated to some singular integral operators satisfying a variant of Hörmander’s condition are obtained.  相似文献   

9.
We prove the boundedness for a class of multi-sublinear singular integral operators on the product of central Morrey spaces with variable exponents. Based on this result, we obtain the boundedness for the multilinear singular integral operators and two kinds of multilinear singular integral commutators on the above spaces.  相似文献   

10.
目前对奇异积分算子的研究基本上都要求核满足标准型条件,现把标准型条件减弱成Dini条件,证明了核满足Dini条件的奇异积分算子关于任意权函数的几个加权赋范不等式,扩大了奇异积分算子的研究范围.  相似文献   

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