Sharp weighted rellich and uncertainty principle inequalities on carnot groups

KÖMBE İ.

Communications in Applied Analysis, vol.14, no.2, pp.251-272, 2010 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2010
  • Journal Name: Communications in Applied Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.251-272
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this work we prove sharp weighted Rellich-type inequalities and their improved versions for general Camot groups. To derive the improved Rellich-type inequalities we have established new weighted Hardy-type inequalities with remainder terms. We also prove new sharp forms of the weighted HardyPoincaré and uncertainty principle inequalities for polarizable Camot groups. © Dynamic Publishers, Inc.2009.