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

IF 2.5 2区数学 Q1 MATHEMATICS Fractional Calculus and Applied Analysis 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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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.