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

作　　者：徐蕴 倪梓原 丁卫[1] XU Yun;NI Zi-yuan;DING Wei(School of Science,Nantong University,Nantong 226007,China)

机构地区：[1]南通大学理学院,江苏南通226007

出　　处：《南通职业大学学报》2022年第3期57-61,共5页Journal of Nantong Vocational University

基　　金：国家自然科学基金资助项目(11771223)。

摘　　要：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)).

关 键 词：非齐次仿积算子 有界性 原子分解 

分 类 号：O174.2[理学—数学]