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 ...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.展开更多
Le be a nonnegative Radon measure on Rd which satisfies the growth condition （B（x, r）） Cotfor all x E Rd and r 〉 O, where Co is a fixed constant and 0 〈 n d. The purpose of this paper is to establish the boun...Le be a nonnegative Radon measure on Rd which satisfies the growth condition （B（x, r）） Cotfor all x E Rd and r 〉 O, where Co is a fixed constant and 0 〈 n d. The purpose of this paper is to establish the boundedness of the Marcinkiewicz integrals from LP（u） to LP（u）, where u is a weight function of Muckenhoupt type associated with ~.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11571160)the Doctoral Research Fund of Mudanjiang Teachers College(Grant No.MNUB201615)+1 种基金Mudanjiang City Scientific and Technological Project(Grant No.Z2016s0028)Mudanjiang Teachers College Education and Teaching Reform Project(Grant No.16-JG18038)
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.
基金Supported by the National Natural Science Foundation of China (Grant No. 10861010)
文摘Le be a nonnegative Radon measure on Rd which satisfies the growth condition （B（x, r）） Cotfor all x E Rd and r 〉 O, where Co is a fixed constant and 0 〈 n d. The purpose of this paper is to establish the boundedness of the Marcinkiewicz integrals from LP（u） to LP（u）, where u is a weight function of Muckenhoupt type associated with ~.
