A remark on the kernel of the CR Paneitz operator

Jeffrey Steven Case, Sagun Chanillo, Paul Yang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume126
DOIs
StatePublished - Oct 26 2015

Fingerprint

CR Functions
kernel
Operator
CR Structure
Composition Operator
Chemical analysis
Fourth Order
Three-dimension
Divergence
Analogue

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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A remark on the kernel of the CR Paneitz operator. / Case, Jeffrey Steven; Chanillo, Sagun; Yang, Paul.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 126, 10499, 26.10.2015, p. 153-158.

Research output: Contribution to journalArticle

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