English

On the discrete functional $l_p$ Minkowski problem

Metric Geometry 2020-09-23 v1

Abstract

The discrete functional LpL_p Minkowski problem is posed and solved. As a consequence, the general affine P\'{o}lya-Szeg\"{o} principle and the general affine Sobolev inequalities are established.

Keywords

Cite

@article{arxiv.2009.10409,
  title  = {On the discrete functional $l_p$ Minkowski problem},
  author = {Tuo Wang},
  journal= {arXiv preprint arXiv:2009.10409},
  year   = {2020}
}
R2 v1 2026-06-23T18:42:47.817Z