In this paper, we obtain the(W Hω^1, W Lω^1) type estimate for the Marcinkiewicz integral and the(W H1 b,ω, W L1ω) type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, w...In this paper, we obtain the(W Hω^1, W Lω^1) type estimate for the Marcinkiewicz integral and the(W H1 b,ω, W L1ω) type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, where the kernel satisfies a certain logarithmic type Lipschitz condition.展开更多
基金Supported by National Natural Science Foundation of China(Grant Nos.11001266,11171345)Beijing Higher Education Young Elite Teacher Project(Grant No.YETP0946)the Fundamental Research Funds for the Central Universities(Grant No.2009QS16)
文摘In this paper, we obtain the(W Hω^1, W Lω^1) type estimate for the Marcinkiewicz integral and the(W H1 b,ω, W L1ω) type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, where the kernel satisfies a certain logarithmic type Lipschitz condition.