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math.FA2024
The Gaussian-Minkowski problem for -pseudo-cones
Xudong Wang, Tingting Xiang
The Gaussian surface area measures for -pseudo-cones are studied in this paper. Using the variational arguments and the approximation methods of Schneider, we obtain the existen…
math.FA2023
Dual Brunn-Minkowski inequality for C-star bodies
Xudong Wang, Tingting Xiang
In this paper, we consider the concept of -star body in a fixed pointed closed convex cone and study the dual mixed volume for -star bodies. For -star bodies, we estab…