Optimal Sobolev norms in the affine class

DOI10.1016/j.jmaa.2015.11.063zbMath1335.46029OpenAlexW2211386675MaRDI QIDQ905983

Ai-Jun Li, Qingzhong Huang

Publication date: 28 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.063

zbMATH Keywords

\((p, 2)\) Fisher information matrix\(L^p\) affine energy\(L^p\) sine energy\(L^p\) surface isotropic positionfunctional \(L^p\) surface isotropic position

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces ⋮ A characterization of minimal Orlicz-Sobolev norms in the affine class ⋮ Compactness properties and ground states for the affine Laplacian ⋮ From affine Poincaré inequalities to affine spectral inequalities

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