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math.CA2025
Weighted inequalities for variation operators associated with fractional Schrödinger semigroups
Yanhan Chen
Let be the fractional Schrödinger semigroup associated with , where is a non-negatvie potential belonging to the reverse Hölder class. In this pap…
math.CA2025
Characterization of infinitesimal boundedness of Schrödinger operator
Yanhan Chen
In this paper, we characterize the weighted infinitesimal boundedness: for and , $$\|Vϕ\|_{L^{p}(w)}^{p}\leqε\|(-Δ)^{\fracα{2}}ϕ\|_{L^{p}(w)}^{p}+C(ε)\|ϕ\|_{L^{…