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
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。
Abstract: 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.
文章引用：王静. 与薛定谔算子相关的Marcinkiewicz积分在混合Morrey空间上的加权估计[J]. 理论数学, 2022, 12(7): 1173-1188. https://doi.org/10.12677/PM.2022.127129

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