Sharp weighted rellich and uncertainty principle inequalities on carnot groups

KÖMBE İ.

Communications in Applied Analysis, cilt.14, sa.2, ss.251-272, 2010 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2010
  • Dergi Adı: Communications in Applied Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.251-272
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

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.