Continuity of the solution to the $L_p$ Minkowski problem in Gaussian probability space
Metric Geometry
2021-03-19 v1
Abstract
In this paper, it is proved that the weak convergence of the Guassian surface area measures implies the convergence of the corresponding convex bodies in the Hausdorff metric for . Moreover, this paper obtains the solution to the Guassian Minkowski problem is continuous with respect to .
Cite
@article{arxiv.2103.09973,
title = {Continuity of the solution to the $L_p$ Minkowski problem in Gaussian probability space},
author = {Hejun Wang},
journal= {arXiv preprint arXiv:2103.09973},
year = {2021}
}