On the discrete Orlicz Minkowski problem II

On the discrete Orlicz Minkowski problem II

The Orlicz Minkowski problem is a generalization of the L p Minkowski problem. For a class of appropriate functions and discrete measures that have no essential subspaces, the existence is demonstrated for the discrete Orlicz Minkowski problem. This is a non-trivial extension of the discrete L p Min...

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Veröffentlicht in:Geometriae dedicata 2020-04, Vol.205 (1), p.177-190
Hauptverfasser: Wu, Yuchi, Xi, Dongmeng, Leng, Gangsong
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Convex and Discrete Geometry
Differential Geometry
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Subspaces
Topology
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Zusammenfassung:The Orlicz Minkowski problem is a generalization of the L p Minkowski problem. For a class of appropriate functions and discrete measures that have no essential subspaces, the existence is demonstrated for the discrete Orlicz Minkowski problem. This is a non-trivial extension of the discrete L p Minkowski problem for p < 0 .
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-019-00471-z