Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916852445216768 |
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| author | Chen, Xi Luo, Min-Jie |
| author_facet | Chen, Xi Luo, Min-Jie |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_14844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$ Chen, Xi Luo, Min-Jie Classical Analysis and ODEs Complex Variables 26A33, 33C60, 42B30 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. |
| title | Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$ |
| topic | Classical Analysis and ODEs Complex Variables 26A33, 33C60, 42B30 |
| url | https://arxiv.org/abs/2507.14844 |