论文标题
对数孔函数的双重曲率度量
Dual curvature measures for log-concave functions
论文作者
论文摘要
我们介绍了对数凸函数的双重曲率度量，在特征函数的情况下，我们恢复了Huang-Lutwak-Yang-Zhang在2016年引入的凸体的双重曲率措施。显示了各种公式。考虑了这些双重曲率度量的相关Minkowski问题，并在对称设置中表现出足够的条件。
We introduce dual curvature measures for log-concave functions, which in the case of characteristic functions recover the dual curvature measures for convex bodies introduced by Huang-Lutwak-Yang-Zhang in 2016. Variational formulas are shown. The associated Minkowski problem for these dual curvature measures is considered and sufficient conditions in the symmetric setting are demonstrated.
