Algebra Of Calderón-Zygmund Operators On RD-Space

In this dissertation,we researched Calderón-Zygmund operators form algebra on RD-space by discrete Calderón reproducing formula and almost orthogonal estimate.More precisely,we proved that A is algebra if the set A formed by all Calderón-Zygmund operators satisfies T(1)=T*(1)=0.Furthermore,if A satisfies T(b)=T*(b)=0 and b is a para-accrective function,then A is also algebra.