English

Hardy's Inequality for the fractional powers of Grushin operator

Analysis of PDEs 2017-12-05 v1

Abstract

We prove Hardy's inequality for the fractional powers of the generalized sublaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of generalized sublaplacian.

Keywords

Cite

@article{arxiv.1712.01004,
  title  = {Hardy's Inequality for the fractional powers of Grushin operator},
  author = {Rakesh Balhara},
  journal= {arXiv preprint arXiv:1712.01004},
  year   = {2017}
}