1 citations · 1 across the 5 of their papers we have counts for
6 papers
Optimal Hardy weights for the fractional discrete Dirichlet Laplacian on the half-line
František Štampach, Jakub Waclawek
For positive powers of the discrete Dirichlet Laplacian , non-trivial Hardy weights exist if and only if . For , an explicit optimal Hardy…
Optimal fractional discrete Hardy inequalities on the half-line
František Štampach, Jakub Waclawek
We consider a Toeplitz realisation of the fractional discrete Laplacian on the half-line as a compression of the full-line fractional discrete Laplacian to $\…
Optimal discrete -Hardy-Rellich-Birman inequalities
František Štampach, Jakub Waclawek
We present a theory for constructing optimal lower bounds for the discrete half-line -Laplacian of higher order and general . The abstract framework int…
The -Hardy-Rellich-Birman inequalities on the half-line
František Štampach, Jakub Waclawek
The classical discrete -Hardy inequality establishes a sharp relationship between the -norms of a sequence and its discrete derivative. In this paper, we generalize th…
A Herglotz-Nevanlinna function from the optimal discrete -Hardy weight
František Štampach, Jakub Waclawek
It was recently proved by Fischer, Keller, and Pogorzelski in [Integr. Equ. Oper. Theory, 95(24), 2023] that the classical discrete -Hardy inequality admits an improvement, and…
Optimal discrete Hardy-Rellich-Birman inequalities
František Štampach, Jakub Waclawek
We prove sufficient conditions on a parameter sequence to determine optimal weights in inequalities for an integer power of the discrete Laplacian on the half-line. By a con…