A characterization of minimal Orlicz-Sobolev norms in the affine class

作者：Huang, Qingzhong^*; Li, Ai -Jun

来源：Journal of Mathematical Analysis and Applications, 2018, 460(2): 703-713.

DOI：10.1016/j.jmaa.2017.12.033

• Orlicz-Sobolev norms
• Affine transforms

The Orlicz-Sobolev norm is invariant only under rigid motions but is not invariant under volume preserving affine transformations on R-n. In this paper, we will consider the Orlicz-Sobolev norm in the affine class and characterize its minimum.

• 出版日期2018-4-15
• 单位嘉兴学院; 河南理工大学