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math.FA2005
Rearrangement inequalities for functionals with monotone integrands
Almut Burchard, Hichem Hajaiej
The rearrangement inequalities of Hardy-Littlewood and Riesz say that certain integrals involving products of two or three functions increase under symmetric decreasing rearrangeme…
math.AP2005
On an isoperimetric inequality for a Schrodinger operator depending on the curvature of a loop
Almut Burchard, Lawrence E. Thomas
Let C be a smooth closed curve of length 2 Pi in R^3, and let k(s) be its curvature, regarded as a function of arc length. We associate with this curve the one-dimensional Schrodin…