论文标题
高斯图像问题，弱Aleksandrov条件
The Gauss Image Problem with Weak Aleksandrov Condition
论文作者
论文摘要
我们为高斯图像问题引入了Aleksandrov条件的放松。事实证明，这种较弱的条件是凸体相关的两种措施的必要条件。我们提供新条件的几种属性。在新的放松假设下，假定其中一种措施是离散的，并且假定另一个措施是绝对连续的，则可以解决对高斯图像问题的解决方案。
We introduce a relaxation of the Aleksandrov condition for the Gauss Image Problem. This weaker condition turns out to be a necessary condition for two measures to be related by a convex body. We provide several properties of the new condition. A solution to the Gauss Image Problem is obtained for the case when one of the measures is assumed to be discrete and the another measure is assumed to be absolutely continuous, under the new relaxed assumption.
