Abstract

We obtain necessary and sufficient conditions for the boundedness of the weighted multilinear \(p\)-adic Hardy-Cesàro operators on the product of \(p\)-adic weighted Morrey-Herz spaces and \(p\)-adic weighted Herz spaces. Meanwhile, sharp bounds are also established. On the other hand, the sufficient conditions of boundedness of commutators of the weighted multilinear Hardy-Cesàro operators with symbols in the Lipschitz space on the \(p\)-adic weighted Morrey-Herz spaces are also derived.

中文翻译：

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$$ p $$上的加权多线性$$ p $$ -AdicHardy-Cesàro算子和交换子-Adic加权Morrey-Herz空间

摘要

我们为\（p \）- adic加权Morrey-Herz空间与\（p \）- adic加权Herz乘积的加权多线性\（p \）- adicHardy-Cesàro算子的有界性提供了充要条件空格。同时，也建立了明确的界限。另一方面，还推导了在（p \）- adic加权Morrey-Herz空间上Lipschitz空间中带有符号的加权多线性Hardy-Cesàro算子的交换子有界的充分条件。