Affine vs. Euclidean isoperimetric inequalities
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Publication:2326670
DOI10.1016/j.aim.2019.106811zbMath1436.51017arXiv1804.11165OpenAlexW2974072617MaRDI QIDQ2326670
Christoph Haberl, Franz E. Schuster
Publication date: 10 October 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.11165
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities and extremum problems in real or complex geometry (51M16)
Related Items (13)
On the sine polarity and the \(L_p\)-sine Blaschke-Santaló inequality ⋮ The equality cases in Steiner's projection inequality ⋮ The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces ⋮ Lutwak-Petty projection inequalities for Minkowski valuations and their duals ⋮ Gradual improvement of the \(L_p\) moment-entropy inequality ⋮ Spherical centroid bodies ⋮ Iterations of Minkowski valuations ⋮ Unnamed Item ⋮ Fixed points of Minkowski valuations ⋮ On Complex L_p affine isoperimetric inequalities ⋮ The Petty projection inequality for sets of finite perimeter ⋮ Sharp Sobolev inequalities via projection averages ⋮ \(k\)-codimensional projection bodies
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