Boundedness of certain multiple Erd\'{e}lyi-Kober fractional integral operators on the Hardy space $H^1$
Classical Analysis and ODEs
2025-07-22 v1 Complex Variables
Abstract
In this paper, we establish the boundedness of the multiple Erd\'{e}lyi-Kober fractional integral operators involving Fox's -function on the Hardy space . 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.
Keywords
Cite
@article{arxiv.2507.14844,
title = {Boundedness of certain multiple Erd\'{e}lyi-Kober fractional integral operators on the Hardy space $H^1$},
author = {Xi Chen and Min-Jie Luo},
journal= {arXiv preprint arXiv:2507.14844},
year = {2025}
}