与薛定谔算子相关的Marcinkiewicz积分在混合Morrey空间上的加权估计  

Weighted Estimates of Marcinkiewicz Integrals Associated with Schr?dinger Operator on Mixed Morrey Space

作　　者：王静 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2022年第7期1173-1188,共16页Pure Mathematics

摘　　要：利用Ap的估计以及函数分解方法,借助Lp空间上的加权估计,证明了与薛定谔算子相关的Marcinkiewicz积分在混合Morrey空间上的加权有界性,并给出与薛定谔算子相关的Marcinkiewicz积分的BMO交换子的加权有界性。By using the weight estimation of Ap and the function decomposition method, and owing to the weighted estimation on the Lp spaces, we proved the weighted boundedness of Marcinkiewicz in-tegrals associated with Schrödinger operator on mixed Morrey spaces, and the weighted boundedness of BMO commutators of Marcinkiewicz integrals associated with Schrödinger oper-ator.

关 键 词：薛定谔算子 MARCINKIEWICZ积分 交换子 混合Morrey空间 加权有界性 

分 类 号：O177[理学—数学]