English

Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

Analysis of PDEs 2018-06-19 v1 Functional Analysis

Abstract

In this paper we present L2L^2 and LpL^p versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained results for the Heisenberg and the Engel groups.

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Cite

@article{arxiv.1806.06226,
  title  = {Subelliptic geometric Hardy type inequalities on half-spaces and convex domains},
  author = {Michael Ruzhansky and Bolys Sabitbek and Durvudkhan Suragan},
  journal= {arXiv preprint arXiv:1806.06226},
  year   = {2018}
}

Comments

18 pages