In this dissertation, the boundedness for a class of commutators of θ-type Calderon-Zygmund operators are considered.In the first chapter, we prove the boundness of commutators generated by BMO function b and θ-type Calderon-Zygmund singular integral operator T on Hardy and Herz-Hardy spaces, where we use the decomposition theorem of Hardy spaces in terms of atoms and molecules.In the second chapter, the weak type estimate for commutators of θ-type Calderon-Zygmund operators are considered. We obtain [b, T] is bounded from Hp,∞b((?)n) to Lp,∞((?)n), here the θ function must satisfy some conditions.In the third chapter, we give the boundness properties of higher commutators of θ-type Calderon-Zygmund operators Tmb on atom Hardy spaces Hp,∞b((?)n) and Herz-Hardy spaces...
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