The dual Orlicz curvature measures for log-concave functions and their related Minkowski problems
Metric Geometry
2023-09-22 v1
Abstract
The variation of a class of Orlicz moments with respect to the Asplund sum within the class of log-concave functions is demonstrated. Such a variational formula naturally leads to a family of dual Orlicz curvature measures for log-concave functions. They are functional analogs of dual (Orlicz) curvature measures for convex bodies. Partial existence results for the functional dual Orlicz Minkowski problem are shown.
Keywords
Cite
@article{arxiv.2309.12260,
title = {The dual Orlicz curvature measures for log-concave functions and their related Minkowski problems},
author = {Niufa Fang and Deping Ye and Zengle Zhang and Yiming Zhao},
journal= {arXiv preprint arXiv:2309.12260},
year = {2023}
}
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