Research extends bounded operator properties of discrete Riesz potential in Hp(Zn) and Hq(Zn), indicating broader applicability.
In [J. Class. Anal. 26 (2025), 63–76], we proved that the discrete Riesz potential Iα is a bounded operator Hp(Zn)→Hq(Zn) for n−1n<p≤1, 1q=1p−αn and 0<α<n. In this note, we extend this result to the full range 0<p≤1.
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Pablo Rocha (2025) studied this question.
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