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The dual Orlicz curvature measures for log-concave functions and their related Minkowski problems

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arxiv 2309.12260 v1 pith:GCVW4KWE submitted 2023-09-21 math.MG

Niufa Fang , Deping Ye , Zengle Zhang , Yiming Zhao This is my paper · ORCID
classification math.MG
keywords orliczdualcurvaturefunctionslog-concavemeasuresclassfunctional
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The variation of a class of Orlicz moments with respect to the Asplund sum within the class of log-concave functions is demonstrated. Such a variational formula naturally leads to a family of dual Orlicz curvature measures for log-concave functions. They are functional analogs of dual (Orlicz) curvature measures for convex bodies. Partial existence results for the functional dual Orlicz Minkowski problem are shown.

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