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An \mathrm {SL}(n)-invariant mixed integral L_p affine surface area

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ARTICLE DOWNLOAD

An \mathrm {SL}(n)-invariant mixed integral L_p affine surface area

10$

Rui Chen & Songjun Lv 

Abstract

Extremal problems optimizing mixed integral LpLp affine surface area under linear transformation are investigated. The famous Lutwak–Yang–Zhang ellipsoid turns out to be a special case of the solutions. Associated John’s inclusions are also formulated for these new LpLp version John ellipsoids, which provide in turn new extensions of the classic John’s inclusion for John–Löwner ellipsoid.

Only units of this product remain
Year 2020
Language English
Format PDF
DOI 10.1007/s40590-019-00272-0