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math.CA2026
Critical discrete Hardy inequalities in
Krzysztof Bogdan, Shubham Gupta, Kamil Kaleta +1
We establish ground-state representations and critical Hardy inequalities in the discrete setting. In particular, we construct critical Hardy weights for the discrete Dirichl…
math.PR2026
IDS for subordinate Brownian motions in Poisson random environment on nested fractals
Hubert Balsam, Kamil Kaleta, Mariusz Olszewski +1
We establish the Lifshitz singularity of the integrated density of states (IDS) for random Schrödinger operators \[ H^ω = ϕ(-\mathcal{L}) + V^ω \] on planar unbounded nested fracta…
math.FA2026
Smoothing on for ground state transformed semigroups in non-local settings
Miłosz Baraniewicz, Kamil Kaleta
We study the -smoothing properties for a broad class of semigroups arising from the ground state transformation of Schrödinger semigroups with confining potentials associated…