Norm discretization for the Lizorkin-Triebel spaces with generalized smoothness (Q2719502)

The author studies the spaces of differentiable functions of generalized smoothness of the Lizorkin-Triebel type prescribed on the \(n\)-dimensional space. Under some assumptions on function \(\lambda\) which characterizes the generalized smoothness the space discretization procedure is set out and the interconnections are established between the spaces on \(\mathbb{R}^n\) and their discrete analogues.