Cesáro-Morrey 函数空间上的积分算子和分数积分

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2024-05-04 DOI:10.1007/s13370-024-01191-8

Kwok-Pun Ho

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引用次数: 0

摘要

本文将 Cesáro 函数空间的研究扩展到 Cesáro-Morrey 函数空间。我们建立了关于 Cesáro-Morrey 函数空间上积分算子有界性的一般原理。通过应用这一原理，我们得到了 Cesáro-Morrey 函数空间上的 Erdélyi-Kober 分数积分和 Hadamard 分数积分的有界性。此外，我们还将坦多利空间的研究扩展到坦多利-莫雷空间。

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Integral operators and fractional integrals on Cesáro-Morrey function spaces

In this paper, we extend the study of the Cesáro function spaces to the Cesáro-Morrey function spaces. We establish a general principle on the boundedness of integral operators on the Cesáro-Morrey function spaces. By applying this principle, we have the boundedness of the Erdélyi-Kober fractional integrals and the Hadamard fractional integrals on the Cesáro-Morrey function spaces. In addition, we also extend the study of Tandori spaces to Tandori-Morrey spaces.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量