测度度量空间中定义的Lebesgue空间和Morrey空间上的Bessel-Riesz算子

IF 1.4 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2023-02-21 DOI:10.1155/2023/3148049

Saba Mehmood, Eridani, Fatmawati, Wasim Raza

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引用次数: 0

摘要

本文讨论了测度度量空间中Lebesgue空间和Morrey空间上定义的Bessel–Riesz算子的有界性。利用极大算子和传统的并矢分解方法研究了贝塞尔-里兹算子。我们研究了内核和空间参数之间的相互作用，以获得结果，并了解这如何影响内核绑定运算符。

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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Bessel-Riesz Operators on Lebesgue Spaces and Morrey Spaces Defined in Measure Metric Spaces

The boundedness of Bessel–Riesz operators defined on Lebesgue spaces and Morrey spaces in measure metric spaces is discussed in this research study. The maximal operator and traditional dyadic decomposition are used to study the Bessel-Riesz operators. We investigate the interaction between the kernel and space parameters to get the results and see how this affects kernel-bound operators.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks