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