非齐次仿积算子在局部Hardy空间上的有界性

Boundedness of Inhomogeneous Para-product Operatorson Local Hardy Spaces

研究了非齐次仿积算子π_(b),证明了其属于非齐次Calderón-Zygmund算子,说明除拟微分算子还存在其他的非齐次Calderón-Zygmund算子,并利用原子分解证明了算子π_(b)是h^(p)(R^(n))→L^(p)(R^(n))有界的。

A research is conducted on inhomogeneous para-product operatorsπ_(b),and it is proved that they belong to inhomogeneous Calderón-Zygmund operators,which shows that there are other inhomogeneous Calderón-Zygmund operators besides the quasi-differential operator.Moreover,by using atomic decomposition,it is concluded thatπ_(b) is bounded from h^(p)(R^(n)) to L^(p)(R^(n)).