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

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.