Necessary subspace concentration conditions for the even dual Minkowski problem
By Martin Henk, H. Pollehn. 2017
73 citations recorded by the source corpus.
We prove tight subspace concentration inequalities for the dual curvature measures $\widetilde{\mathrm{C}}_q(K,\cdot)$ of an $n$-dimensional origin-symmetric convex body for $q\geq n+1$. This supplements former results obtained in the range $q\leq n$.
Subfields: Applied Mathematics, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/6db58f7844f09b4321db7e3f1743b8e9e079f0b2
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In Applied Mathematics
In Molecular Biology
Citations in the corpus
- The L dual Minkowski problem for p > 1 and q > 0 (2018, unknown): “ed much attention but is not discussed here, see B¨oro¨czky, Lutwak, Yang, Zhang [5] concerning the Lp surface area Sp(K,·), B¨oro¨czky, Lutwak, Yang, Zhang, Zhao [6], Jiang Wu [20] and Henk, Pollehn [15] concerning the qth dual curvature measure Ce q(K,·), and Huang, Zhao [19] concerning the Lp dua”
- A flow method for the dual Orlicz–Minkowski problem (2020, background): “They have attracted great attention from many researchers, see for example [11, 20, 22, 27, 29, 30, 32, 33, 34, 36, 43, 45, 51, 53, 55, 56, 58, 60, 63, 66, 69] and references therein.”
- The Minkowski problem in Gaussian probability space (2020, background): “The dual Minkowski problem, while still largely open, has been solved in the o-symmetric case when the associated index q satisfies q ∈ [0, n], see, for example [8, 11, 15, 35, 38, 49, 74, 75].”
- On the L dual Minkowski problem (2018, background): “Given a nonzero finite Borel measure μ on the unit sphere Sn−1 and real numbers p, q, what are the necessary and sufficient conditions so that there exists a convex body K ∈ K0 satisfying C̃p,q(K, ·) = μ ? When p = 0, the Lp dual Minkowski problems becomes the dual Minkowski problem, which since its”