The Hᵖ (Zⁿ) -Hq (Zⁿ) boundedness of discrete Riesz potential

Key Points

• The discrete Riesz potential is established as a bounded operator from Hp to Hq, significantly enhancing operator theory.
• Findings confirm boundedness for the full range of Hp, expanding prior constraints and applications in functional analysis.
• The research demonstrates that the condition holds for 0 < p ≤ 1, improving our understanding of bounded operator behavior.
• This extension calls for further exploration of related operator properties within discrete function spaces.