In this article we obtain weighted norm estimates for multilinear singular integrals with non-smooth kernels and the boundedness of certain multilinear commutators by making use of a sharp maximal function.
In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain t...In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain their boundedness on L^p（R^n） for 1 〈 p 〈 ∞.展开更多
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-smoot...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.展开更多
In this paper we study the Hardy type estimates for commutators Tb of standard Calder(o)n-Zygmund singular integral operators T with a Lipschitz function b. The corresponding results are also obtained on the commutato...In this paper we study the Hardy type estimates for commutators Tb of standard Calder(o)n-Zygmund singular integral operators T with a Lipschitz function b. The corresponding results are also obtained on the commutators Sb generated by b with singular integral operators S with variable kernels.展开更多
In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ<SUP> n </SUP>are introduced, and the central atomic and molecular decomposition characte...In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ<SUP> n </SUP>are introduced, and the central atomic and molecular decomposition characterizations of those spaces are established. As some applications of the decomposition theory, the authors study the interpolation problem and the boundedness of the central δ-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.展开更多
文摘In this article we obtain weighted norm estimates for multilinear singular integrals with non-smooth kernels and the boundedness of certain multilinear commutators by making use of a sharp maximal function.
基金Research supported by Professor Xu Yuesheng's Research Grant in the program of "One hundred Distinguished Young Scientists" of the Chinese Academy of Sciences
文摘In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain their boundedness on L^p（R^n） for 1 〈 p 〈 ∞.
基金supported by National Natural Science Foundation of China (Grant No. 10971228),supported by National Natural Science Foundation of China (Grant Nos. 10871024, 10931001)
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.
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.10041005&10171045).
文摘In this paper we study the Hardy type estimates for commutators Tb of standard Calder(o)n-Zygmund singular integral operators T with a Lipschitz function b. The corresponding results are also obtained on the commutators Sb generated by b with singular integral operators S with variable kernels.
基金NSF of China (Grant Nos.10571014 and 10571015)SRFDP of China (Grant No.20050027025)
文摘In this paper, a class of anisotropic Herz-type Hardy spaces associated with a non-isotropic dilation on ℝ<SUP> n </SUP>are introduced, and the central atomic and molecular decomposition characterizations of those spaces are established. As some applications of the decomposition theory, the authors study the interpolation problem and the boundedness of the central δ-Calderón-Zygmund operators on the anisotropic Herz-type Hardy spaces.
