English

Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension

Classical Analysis and ODEs 2013-02-22 v1 Analysis of PDEs

Abstract

We prove inequalities of Hardy type for functions in Triebel-Lizorkin spaces Fpqs(G)F^s_{pq}(G) on a domain GRnG\subset\mathbb{R}^n, whose boundary has the Aikawa dimension strictly less than nspn-sp.

Keywords

Cite

@article{arxiv.1302.5295,
  title  = {Hardy inequalities in Triebel-Lizorkin spaces II. Aikawa dimension},
  author = {Lizaveta Ihnatsyeva and Antti V. Vähäkangas},
  journal= {arXiv preprint arXiv:1302.5295},
  year   = {2013}
}