In this paper, we define the \(p\)-adic mixed Morrey type spaces and study the boundedness of \(p\)-adic fractional integral operators and their commutators on these spaces. More precisely, we first obtain the boundedness of \(p\)-adic fractional integral operators and their commutators on \(p\)-adic mixed central Morrey spaces. Moreover, we further extend these results on \(p\)-adic generalized mixed Morrey spaces, when a symbol function \(b\) belongs to the \(p\)-adic generalized mixed Campanato spaces.

中文翻译：

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$$p$$ -adic 分数积分算子及其在 $$p$$ 上的换向器的估计 -adic 混合中心 Morrey 空间和广义混合 Morrey 空间

本文定义了\(p\) -adic混合Morrey型空间，并研究了\(p\) -adic分数积分算子及其交换子在这些空间上的有界性。更准确地说，我们首先获得\(p\) -adic 分数积分算子及其交换子在\(p\) -adic 混合中心 Morrey 空间上的有界性。此外，当符号函数\(b\)属于\(p\)-adic广义混合Campanato空间时，我们进一步将这些结果扩展到\ (p\) -adic广义混合Morrey空间。