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math.AP2022
An improved one-dimensional Hardy inequality
Rupert L. Frank, Ari Laptev, Timo Weidl
We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we ca…
math.AP2022★ 1 cited
Hardy inequalities for magnetic -Laplacians
Cristian Cazacu, David Krejcirik, Nguyen Lam +1
We establish improved Hardy inequalities for the magnetic -Laplacian due to adding nontrivial magnetic fields. We also prove that for Aharonov-Bohm magnetic fields the sharp con…