Analysis extends boundedness of discrete Riesz potential as a bounded operator from Hp to Hq spaces, suggesting greater applicability.
In [J. Class. Anal., vol. 26 (1) (2025), 63-76], we proved that the discrete Riesz potential I_α is a bounded operator Hᵖ(Zⁿ) → Hq(Zⁿ) for n-1/n < p ≤ 1, 1/q = 1/p - αn and $0 < α< n$. In this note, we extend such boundedness on the full range 0 < p ≤ 1.
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Pablo Rocha (2025) studied this question.
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