Algebras Of Calderón-zygmund Operators On Spaces Of Homogeneous Type

In this dissertation,using continuous Calderon’s reproducing formulas and almost orthogonal estimates,we obtain algebras of Calderon-Zygmund operators on spaces of homogenous type in the setting of both one parameter and bi-parameter.More precisely,all classical Calderón-Zygmund operators form an algebra when T(1)=T*(1)=0 and all product singular integral operators in Journe’s class form an algebra when T1(1)=T1*(1)=T2(1)=T2*(1)=0.