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

Published 20 Jul 2025 in math.CA and math.CV | (2507.14844v1)

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 $H1$. 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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