Fractional and non-fractional Hardy inequality on a lattice Zd
Abstract
We present simple proofs of a discrete fractional and non-fractional Hardy inequality, Our constants are explicit, but not optimal. In the class of power weights, we get a complete picture of when the non-fractional Hardy inequality holds, for any dimension $d$ of the lattice $\Z^d$ and exponent $0
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Nonlinear Partial Differential Equations
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Journal of Differential Equations
- Volume
- 485
- Pages
- 114749–114749
- Publication date
- 4 September 2026
- Language
- EN