On the analog of Shephard problem for the L_p-projection body

DOI10.7153/mia-14-15zbMath1218.52006OpenAlexW2321012180MaRDI QIDQ3075434

Tong Yi Ma, Wei-Dong Wang

Publication date: 15 February 2011

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-14-15

zbMATH Keywords

Fourier transformBrunn-Minkowski-Firey theoryShephard problem\(L_p\)-affine surface area\(L_p\)-projection body

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Asymptotic theory of convex bodies (52A23)

Related Items (5)

The generalized \(L_p\)-mixed affine surface area ⋮ \((p, q)\)-John ellipsoids ⋮ Stability in the shephard problem for L p -projection of convex bodies ⋮ The \(i\)th \(p\)-geominimal surface area ⋮ The \(i\)th \(p\)-affine surface area

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