English

An extension problem and trace Hardy inequality for the sublaplacian on $H$-type groups

Analysis of PDEs 2017-08-31 v1 Representation Theory

Abstract

In this paper we study the extension problem for the sublaplacian on a HH-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian.

Keywords

Cite

@article{arxiv.1708.09258,
  title  = {An extension problem and trace Hardy inequality for the sublaplacian on $H$-type groups},
  author = {L. Roncal and S. Thangavelu},
  journal= {arXiv preprint arXiv:1708.09258},
  year   = {2017}
}

Comments

39 pages