Boundedness of certain multiple Erd\'elyi-Kober fractional integral operators on the Hardy space H1
Abstract
In this paper, we establish the boundedness of the multiple Erd\'elyi-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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