Boundedness For A Class Of Commutators Of θ-type Calderón-Zygmund Operators

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 H^p,∞_b((?)ⁿ) to L^p,∞((?)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 T^m_b on atom Hardy spaces H^p,∞_b((?)ⁿ) and Herz-Hardy spaces...