A remark on the kernel of the CR Paneitz operator

Jeffrey S. Case, Sagun Chanillo, Paul Yang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator, after composition with the divergence operator, gives the fourth order analogue of the Paneitz operator. In this short note, we give criteria under which the kernel of the CR Paneitz operator contains a supplementary space to the CR pluriharmonic functions.

Original languageEnglish (US)
Article number10499
Pages (from-to)153-158
Number of pages6
JournalNonlinear Analysis, Theory, Methods and Applications
StatePublished - Oct 26 2015

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


  • CR Paneitz operator
  • CR pluriharmonic functions
  • Stability


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