A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group

• Adimurthi Mallick ^[1] ; Arka Mallick ^[1]
  1. [1] TIFR Centre for Applicable Mathematics, Bangalore
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 18, Nº 3, 2018, págs. 917-949
• Idioma: inglés
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• Resumen

  • In this paper, we derive a non linear Hardy type inequality on certain fractional order Sobolev spaces on the Heisenberg group. Our inequality is an analogous version of an inequality of the same name on weighted Folland-Stein spaces which had been derived in [3]. We also derive Sobolev type and Morrey type embedding to make that abstract fractional order Sobolev spaces on the Heisenberg group more familiar.