Characterizes positive critical Hardy weights for Laplacians on weighted graphs and identifies an optimal Hardy weight for fractional Laplacians under suitable assumptions, with examples on Cayley, curvature, and fractal graphs.
Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N -body S chr\"odinger operators , volume 29 of Mathematical Notes
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Positive Criticality and Optimal Hardy Inequality for Fractional Laplacians
Characterizes positive critical Hardy weights for Laplacians on weighted graphs and identifies an optimal Hardy weight for fractional Laplacians under suitable assumptions, with examples on Cayley, curvature, and fractal graphs.