变指数莫雷-赫兹空间上分数双线性哈代算子的加权估计值

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-01-25 DOI:10.1186/s13660-024-03092-7

Muhammad Asim, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki

引用次数: 0

摘要

本文分析了变指数加权莫雷-赫兹空间 ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ 上分数双线性哈代算子的有界性。当符号函数属于具有可变指数的 BMO 空间时，它们的换元器也会得到类似的估计值。

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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Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space

In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ . Similar estimates are obtained for their commutators when the symbol functions belong to BMO space with variable exponents.

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.