English

Affine Poisson & Non-Poisson trace principles for $\dot{H}^{-1<-\alpha\le-\frac12}(\R^{n-1})$

Analysis of PDEs 2019-06-11 v3

Abstract

This note discovers not only an affine non-sharp-Poisson trace inequality but also its sharp-non-Poisson version for a Sobolev function with the fractional antiderivative.

Keywords

Cite

@article{arxiv.1808.08919,
  title  = {Affine Poisson & Non-Poisson trace principles for $\dot{H}^{-1<-\alpha\le-\frac12}(\R^{n-1})$},
  author = {Nico Lombardi and Jie Xiao},
  journal= {arXiv preprint arXiv:1808.08919},
  year   = {2019}
}

Comments

16 pages