带粗糙核与Schrdinger算子相关的Marcinkiewicz算子及其交换子（英文）  

Marcinkiewicz Integrals with Rough Kernel Associated with Schrdinger Operator and its Commutator

作　　者：孙莉 赵凯 

机构地区：[1]青岛大学数学与统计学院,山东青岛266071

出　　处：《应用数学》2017年第4期890-896,共7页Mathematica Applicata

基　　金：Supported by NNSF of China(11471176);NSF of Shandong Province(BS2014SF002)

摘　　要：本文使用经典不等式估计,利用Muckenhoupt权函数性质,建立了带粗糙核的与Schrdinger算子相关的Marcinkiewicz积分算子及其交换子在加权Morrey空间上的有界性.In this paper, by using the classical inequalities and properties of Muckenhoupt weighted functions, we establish the boundedness of Marcinkiewicz integral with rough kernel associated with SchrSdinger operator on weighted Morrey spaces.

关 键 词：MARCINKIEWICZ积分 粗糙核 交换子 Schrdinger算子 MORREY空间 

分 类 号：O174.2[理学—数学]