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, we introduce Morrey-Herz spaces MKq.p(·)α(·),λ with variable exponents α(·) and p(·), and prove the boundedness of multilinear Calderdn-Zygmund singular operators on the ...In this paper, we introduce Morrey-Herz spaces MKq.p(·)α(·),λ with variable exponents α(·) and p(·), and prove the boundedness of multilinear Calderdn-Zygmund singular operators on the product of these spaces.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
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Supported by National Natural Science Foundation of China(Grant Nos.11271209 and 11371370)NaturalScience Foundation of Nantong University(Grant No.11ZY002)
文摘In this paper, we introduce Morrey-Herz spaces MKq.p(·)α(·),λ with variable exponents α(·) and p(·), and prove the boundedness of multilinear Calderdn-Zygmund singular operators on the product of these spaces.
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.