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arXiv · 2410.00830

The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces IV

Paulo M. Carvalho Neto·Renato Fehlberg Júnior
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Abstract

In this manuscript, we extend our previous work on the Riemann-Liouville fractional integral of order $\alpha > 0$ in Bochner-Lebesgue spaces. We specifically address the remaining cases concerning its boundedness when $\alpha > 1/p$. Furthermore, we extend some of our previous results by investigating some non-standard function spaces. Finally, we provide a comprehensive summary of the obtained results.

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Paulo M. Carvalho Neto, Renato Fehlberg Júnior. 2024-10-01. The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces IV. https://arxiv.org/abs/2410.00830

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