Article ID Journal Published Year Pages File Type
6417456 Journal of Mathematical Analysis and Applications 2016 18 Pages PDF
Abstract

Optimal Sobolev norms under volume preserving affine transformations are considered. It turns out that this minimal transform is equivalent to the (p,2) Fisher information matrix defined by Lutwak, Lv, Yang, and Zhang. Furthermore, some analytic inequalities regarding to the Lp affine and Lp sine energies for the optimal function are investigated.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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