Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417456 | Journal of Mathematical Analysis and Applications | 2016 | 18 Pages |
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
Qingzhong Huang, Ai-Jun Li,