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arXiv · 2507.14844

Boundedness of certain multiple Erd\'{e}lyi-Kober fractional integral operators on the Hardy space $H^1$

Xi Chen·Min-Jie Luo
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Abstract

In this paper, we establish the boundedness of the multiple Erd\'{e}lyi-Kober fractional integral operators involving Fox's $H$-function on the Hardy space $H^1$. Our results generalize recent results of Kwok-Pun Ho [Proyecciones 39 (3) (2020), 663--677]. Some useful connections related to the Hausdorff operators are also mentioned.

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Xi Chen, Min-Jie Luo. 2025-07-20. Boundedness of certain multiple Erd\'{e}lyi-Kober fractional integral operators on the Hardy space $H^1$. https://arxiv.org/abs/2507.14844

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