Continuity of the Solution to the Lp Minkowski Problem in Gaussian Probability Space
نویسندگان
چکیده
In this paper, it is proved that the weak convergence of Lp Gaussian surface area measures implies corresponding convex bodies in Hausdorff metric for p ≥ 1. Moreover, continuity solution to Minkowski problem with respect obtained.
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica
سال: 2022
ISSN: ['1439-7617', '1439-8516']
DOI: https://doi.org/10.1007/s10114-022-1694-1