参数型Littlewood-Paley算子及交换子在主极大变指数Morrey-Herz空间上的有界性

The boundedness of parametrized Littlewood-Paley operators and their commutators on grand variable Morrey-Herz spaces

摘要: 利用主极大变指数Herz-Morrey空间的定义、Minkowski不等式、Hölder不等式并结合已有的结论，证明了参数型面积积分、参数型Littlewood-Paley g_\delta ^\ast -函数及其分别与空间BMO生成的高阶交换子在该空间的有界性.

Abstract: Using the definition of the grand variable Herz-Morrey spaces, Minkowski’s inequality, Hölder’s inequality, and previous results, we prove the boundedness of the parametrized area integral and the Littlewood-Paley g_\delta ^\ast -function. We also establish the boundedness of their higher order commutators, which are generated by BMO space, on these spaces.