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

Year: 2025

Type: article

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.

Source: Acta Mathematica Universitatis Comenianae

Authors: Chen, Xi, Luo, Min-Jie

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G2641981348

OpenAlex ID: W4417433004

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