Boundedness Of Non-convolution Calderón-Zygmund Operators On Product Hardy Spaces

In this dissertation,we obtain boundedness of the Calderón-Zygmund operator T on the product Hardy space.Let T1*(1)=T2*(1)=0,max(n/n+1,m/m+1）<p≤1,then T is bounded on Hp(Rn × Rm)and is bounded from Hp(Rn × Rm)to Lp(Rn+m).This dissertation mainly uses the almost orthogonal estimation,the discrete Calderon reproducing formula,Littlewood-Paley theory and properties of discrete para-product operators.