Estimates for $$p$$ -adic fractional integral operators and their commutators on $$p$$ -adic mixed central Morrey spaces and generalized mixed Morrey spaces

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-04-08 DOI:10.1007/s13540-024-00274-4

Naqash Sarfraz, Muhammad Aslam, Qasim Ali Malik

引用次数: 0

Abstract

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.

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在 $$p$ -adic 混合中心莫雷空间和广义混合莫雷空间上的 $$p$ -adic 分数积分算子及其换元子的估计值

在本文中，我们定义了 $p$-adic 混合 Morrey 型空间，并研究了这些空间上的$p$-adic 分数积分算子及其换元的有界性。更确切地说，我们首先得到了 $p$-adic 混合中心莫雷空间上的$p$-adic分数积分算子及其换元的有界性。此外，当符号函数$b$属于$p$-adic广义混合坎帕纳托空间时，我们进一步将这些结果扩展到$p$-adic广义混合莫雷空间上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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