Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$

In this paper, we establish the boundedness of the multiple Erdélyi-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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Publication Details

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ArXiv.org
Published
2025-07-20
Primary Topic
Advanced Harmonic Analysis Research
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article
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article

Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$

Xi Chen, Min-Jie Luo
ArXiv.org
Advanced Harmonic Analysis Research
article

Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$

Xi Chen, Min-Jie Luo
article en

Abstract

In this paper, we establish the boundedness of the multiple Erdélyi-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.

ArXiv.org
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Advanced Harmonic Analysis Research
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Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$ — Xi Chen, Min-Jie Luo · ArXiv.org (2025) | TGRS Research Map | TGRS