The Orlicz-Petty bodies

DOI10.1093/imrn/rnx008zbMath1409.52010arXiv1611.04436OpenAlexW2963654531MaRDI QIDQ4619411

BaoCheng Zhu, Han Hong, Deping Ye

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04436

zbMATH Keywords

affine isoperimetric inequalitieshomogeneous Orlicz affine surfaceOrlicz geominimal surface areaOrlicz-Petty body

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Mixed volumes and related topics in convex geometry (52A39) Miscellaneous topics in calculus of variations and optimal control (49N99)

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