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math.CA2026
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…
math.CA2026
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…
math.SP2026
Schrödinger operators on the half-line with integrable complex potentials
Alexander Pushnitski, František Štampach
In our previous work, we introduced the concept of a \emph{spectral pair} for a half-line Schrödinger operator with a \emph{complex} bounded potential , serving as a substitute…