Hardy spaces, Besov spaces and Triebel--Lizorkin spaces associated with a discrete Laplacian and applications

The Anh Bui, Xuan Thinh Duong

Consider the discrete Laplacian ${\Delta }_d$ defined on the set of integers $\mathbb{Z}$ by \[ Δ_d f(n) = -f(n+1) + 2f(n) -f(n-1), \ \ \ \ n\in \mathbb Z, \] where $f$ is a function define…